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Finding the Fourth Proportional to 120,197.38, 165,861.23 and 66,481.24

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Solution

The fourth proportional to 120,197.38, 165,861.23 and 66,481.24 is: 91,737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,197.38 : 165,861.23 = 66,481.24 : x
  2. Step 2: Convert to fraction form
    120,197.38/165,861.23 = 66,481.24/x
  3. Step 3: Cross multiply
    120,197.38x = 165,861.23 × 66,481.24
  4. Step 4: Simplify right side
    120,197.38x = 11,026,659,076.61
  5. Step 5: Solve for x
    x = 11,026,659,076.61/120,197.38
  6. Step 6: Final answer
    x = 91,737.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.