Michael Wittry has been investing in his Roth IRA retirement account for 20 years. Four years ago, his account was worth $215,604. After losing  1/3
   of its original value, it then gained  1/2
   of its new value back. What is the current value of his Roth IRA?

To find the current value of Michael Wittry's Roth IRA account, we'll follow these steps:

1. **Initial Value Before Loss:**
   Four years ago, the account was worth $215,604.

2. **Value After Loss:**
   The account lost 1/3 of its value. To calculate the loss:
   \[
   \text{Loss} = \frac{1}{3} \times 215,604 = 71,868
   \]
   Therefore, the new value after the loss:
   \[
   \text{Value After Loss} = 215,604 - 71,868 = 143,736
   \]

3. **Value After Gain:**
   The account then gained 1/2 of its new value back. To calculate the gain:
   \[
   \text{Gain} = \frac{1}{2} \times 143,736 = 71,868
   \]
   Therefore, the current value of the account:
   \[
   \text{Current Value} = 143,736 + 71,868 = 215,604
   \]

So, the current value of Michael Wittry's Roth IRA is **$215,604**.

Would you like more details, or do you have any questions?

Here are 5 related questions for further practice:
1. What would be the value if the account lost 50% instead of 1/3?
2. How would the value change if the gain was 3/4 of the new value instead of 1/2?
3. If the account started with $300,000 and followed the same process, what would the final value be?
4. How long would it take to recover the original value if the account gains 5% annually after the loss?
5. What would the final value be if, after gaining 1/2, the account lost 1/4 of the resulting value?

**Tip:** Always double-check your percentage calculations to avoid small errors that can significantly affect the final result.

Michael Wittry has been investing in his Roth IRA retirement account for 20 years. Four years ago, his account was worth $215,604. After losing 1/3 of its original value, it then gained 1/2 of its new value back. What is the current value of his Roth IRA?

Learn how to calculate the current value of a Roth IRA account after a percentage loss of 1/3 and a gain of 1/2 of the new value. The account was initially worth $215,604. Follow this step-by-step guide to solving real-world financial problems, suitable for students in Grades 6-8.

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