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Finding the Fourth Proportional to 337,549.32, 506,434.92 and 138,037.56

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Solution

The fourth proportional to 337,549.32, 506,434.92 and 138,037.56 is: 207,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,549.32 : 506,434.92 = 138,037.56 : x
  2. Step 2: Convert to fraction form
    337,549.32/506,434.92 = 138,037.56/x
  3. Step 3: Cross multiply
    337,549.32x = 506,434.92 × 138,037.56
  4. Step 4: Simplify right side
    337,549.32x = 69,907,040,655.60
  5. Step 5: Solve for x
    x = 69,907,040,655.60/337,549.32
  6. Step 6: Final answer
    x = 207,101.71

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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.