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Finding the Fourth Proportional to 137,107.62, 205,665.72 and 37,269.92

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Solution

The fourth proportional to 137,107.62, 205,665.72 and 37,269.92 is: 55,906.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,107.62 : 205,665.72 = 37,269.92 : x
  2. Step 2: Convert to fraction form
    137,107.62/205,665.72 = 37,269.92/x
  3. Step 3: Cross multiply
    137,107.62x = 205,665.72 × 37,269.92
  4. Step 4: Simplify right side
    137,107.62x = 7,665,145,305.54
  5. Step 5: Solve for x
    x = 7,665,145,305.54/137,107.62
  6. Step 6: Final answer
    x = 55,906.05

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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.