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Finding the Fourth Proportional to 337,213.92, 506,070.12 and 159,721.20

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Solution

The fourth proportional to 337,213.92, 506,070.12 and 159,721.20 is: 239,699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,213.92 : 506,070.12 = 159,721.20 : x
  2. Step 2: Convert to fraction form
    337,213.92/506,070.12 = 159,721.20/x
  3. Step 3: Cross multiply
    337,213.92x = 506,070.12 × 159,721.20
  4. Step 4: Simplify right side
    337,213.92x = 80,830,126,850.54
  5. Step 5: Solve for x
    x = 80,830,126,850.54/337,213.92
  6. Step 6: Final answer
    x = 239,699.85

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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.