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Finding the Fourth Proportional to 138,942, 208,413 and 33,761.27

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Solution

The fourth proportional to 138,942, 208,413 and 33,761.27 is: 50,641.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,942 : 208,413 = 33,761.27 : x
  2. Step 2: Convert to fraction form
    138,942/208,413 = 33,761.27/x
  3. Step 3: Cross multiply
    138,942x = 208,413 × 33,761.27
  4. Step 4: Simplify right side
    138,942x = 7,036,288,085.54
  5. Step 5: Solve for x
    x = 7,036,288,085.54/138,942
  6. Step 6: Final answer
    x = 50,641.91

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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.