Finding the Fourth Proportional to 202,142.70, 283,414.50 and 202,142.70
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Solution
The fourth proportional to 202,142.70, 283,414.50 and 202,142.70 is: 283,414.50
Step by Step Solution
- Step 1: Write the proportion equation
202,142.70 : 283,414.50 = 202,142.70 : x - Step 2: Convert to fraction form
202,142.70/283,414.50 = 202,142.70/x - Step 3: Cross multiply
202,142.70x = 283,414.50 × 202,142.70 - Step 4: Simplify right side
202,142.70x = 57,290,172,249.15 - Step 5: Solve for x
x = 57,290,172,249.15/202,142.70 - Step 6: Final answer
x = 283,414.50
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.