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Finding the Fourth Proportional to 225,115.92, 337,061.10 and 158,456.16

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Solution

The fourth proportional to 225,115.92, 337,061.10 and 158,456.16 is: 237,252.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,115.92 : 337,061.10 = 158,456.16 : x
  2. Step 2: Convert to fraction form
    225,115.92/337,061.10 = 158,456.16/x
  3. Step 3: Cross multiply
    225,115.92x = 337,061.10 × 158,456.16
  4. Step 4: Simplify right side
    225,115.92x = 53,409,407,591.38
  5. Step 5: Solve for x
    x = 53,409,407,591.38/225,115.92
  6. Step 6: Final answer
    x = 237,252.91

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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.