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Finding the Fourth Proportional to 337,638.59, 506,270.92 and 138,099.10

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Solution

The fourth proportional to 337,638.59, 506,270.92 and 138,099.10 is: 207,072.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,638.59 : 506,270.92 = 138,099.10 : x
  2. Step 2: Convert to fraction form
    337,638.59/506,270.92 = 138,099.10/x
  3. Step 3: Cross multiply
    337,638.59x = 506,270.92 × 138,099.10
  4. Step 4: Simplify right side
    337,638.59x = 69,915,558,408.17
  5. Step 5: Solve for x
    x = 69,915,558,408.17/337,638.59
  6. Step 6: Final answer
    x = 207,072.18

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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.