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Finding the Fourth Proportional to 137,251.20, 205,892.16 and 43,735.68

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Solution

The fourth proportional to 137,251.20, 205,892.16 and 43,735.68 is: 65,608.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,251.20 : 205,892.16 = 43,735.68 : x
  2. Step 2: Convert to fraction form
    137,251.20/205,892.16 = 43,735.68/x
  3. Step 3: Cross multiply
    137,251.20x = 205,892.16 × 43,735.68
  4. Step 4: Simplify right side
    137,251.20x = 9,004,833,624.27
  5. Step 5: Solve for x
    x = 9,004,833,624.27/137,251.20
  6. Step 6: Final answer
    x = 65,608.41

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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.