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Finding the Fourth Proportional to 120,951.52, 166,854.96 and 78,523.36

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Solution

The fourth proportional to 120,951.52, 166,854.96 and 78,523.36 is: 108,324.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,951.52 : 166,854.96 = 78,523.36 : x
  2. Step 2: Convert to fraction form
    120,951.52/166,854.96 = 78,523.36/x
  3. Step 3: Cross multiply
    120,951.52x = 166,854.96 × 78,523.36
  4. Step 4: Simplify right side
    120,951.52x = 13,102,012,091.87
  5. Step 5: Solve for x
    x = 13,102,012,091.87/120,951.52
  6. Step 6: Final answer
    x = 108,324.49

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