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Finding the Fourth Proportional to 137,708.17, 206,542.80 and 44,201.77

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Solution

The fourth proportional to 137,708.17, 206,542.80 and 44,201.77 is: 66,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,708.17 : 206,542.80 = 44,201.77 : x
  2. Step 2: Convert to fraction form
    137,708.17/206,542.80 = 44,201.77/x
  3. Step 3: Cross multiply
    137,708.17x = 206,542.80 × 44,201.77
  4. Step 4: Simplify right side
    137,708.17x = 9,129,557,340.76
  5. Step 5: Solve for x
    x = 9,129,557,340.76/137,708.17
  6. Step 6: Final answer
    x = 66,296.41

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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.