Value Increase 7E7Eee

1. **State the problem:** We have a building valued at $261000$ and its value increases by $4.5\%$. We need to find the new value after the increase. 2. **Formula used:** To find the new value after a percentage increase, use: $$\text{New Value} = \text{Original Value} \times \left(1 + \frac{\text{Percentage Increase}}{100}\right)$$ 3. **Apply the formula:** $$\text{New Value} = 261000 \times \left(1 + \frac{4.5}{100}\right)$$ 4. **Simplify the fraction:** $$\text{New Value} = 261000 \times \left(1 + 0.045\right)$$ 5. **Add inside the parentheses:** $$\text{New Value} = 261000 \times 1.045$$ 6. **Multiply:** $$\text{New Value} = 261000 \times 1.045 = 272745$$ 7. **Final answer:** The new value of the building after a $4.5\%$ increase is **272745**.