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Finding the Fourth Proportional to 202,294.70, 303,691.65 and 127,414.70

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Solution

The fourth proportional to 202,294.70, 303,691.65 and 127,414.70 is: 191,279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,294.70 : 303,691.65 = 127,414.70 : x
  2. Step 2: Convert to fraction form
    202,294.70/303,691.65 = 127,414.70/x
  3. Step 3: Cross multiply
    202,294.70x = 303,691.65 × 127,414.70
  4. Step 4: Simplify right side
    202,294.70x = 38,694,780,477.26
  5. Step 5: Solve for x
    x = 38,694,780,477.26/202,294.70
  6. Step 6: Final answer
    x = 191,279.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.