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Finding the Fourth Proportional to 138,983.31, 208,513.85 and 54,691.47

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Solution

The fourth proportional to 138,983.31, 208,513.85 and 54,691.47 is: 82,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,983.31 : 208,513.85 = 54,691.47 : x
  2. Step 2: Convert to fraction form
    138,983.31/208,513.85 = 54,691.47/x
  3. Step 3: Cross multiply
    138,983.31x = 208,513.85 × 54,691.47
  4. Step 4: Simplify right side
    138,983.31x = 11,403,928,698.40
  5. Step 5: Solve for x
    x = 11,403,928,698.40/138,983.31
  6. Step 6: Final answer
    x = 82,052.50

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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.