Finding the Fourth Proportional to 296,108.10, 408,627.99 and 160,142.19
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Solution
The fourth proportional to 296,108.10, 408,627.99 and 160,142.19 is: 220,995.58
Step by Step Solution
- Step 1: Write the proportion equation
296,108.10 : 408,627.99 = 160,142.19 : x - Step 2: Convert to fraction form
296,108.10/408,627.99 = 160,142.19/x - Step 3: Cross multiply
296,108.10x = 408,627.99 × 160,142.19 - Step 4: Simplify right side
296,108.10x = 65,438,581,213.90 - Step 5: Solve for x
x = 65,438,581,213.90/296,108.10 - Step 6: Final answer
x = 220,995.58
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.