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Finding the Fourth Proportional to 138,929.52, 208,394.25 and 33,747.78

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Solution

The fourth proportional to 138,929.52, 208,394.25 and 33,747.78 is: 50,621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,929.52 : 208,394.25 = 33,747.78 : x
  2. Step 2: Convert to fraction form
    138,929.52/208,394.25 = 33,747.78/x
  3. Step 3: Cross multiply
    138,929.52x = 208,394.25 × 33,747.78
  4. Step 4: Simplify right side
    138,929.52x = 7,032,843,302.27
  5. Step 5: Solve for x
    x = 7,032,843,302.27/138,929.52
  6. Step 6: Final answer
    x = 50,621.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.