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Finding the Fourth Proportional to 120,129.46, 165,765.09 and 66,400.90

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Solution

The fourth proportional to 120,129.46, 165,765.09 and 66,400.90 is: 91,625.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,129.46 : 165,765.09 = 66,400.90 : x
  2. Step 2: Convert to fraction form
    120,129.46/165,765.09 = 66,400.90/x
  3. Step 3: Cross multiply
    120,129.46x = 165,765.09 × 66,400.90
  4. Step 4: Simplify right side
    120,129.46x = 11,006,951,164.58
  5. Step 5: Solve for x
    x = 11,006,951,164.58/120,129.46
  6. Step 6: Final answer
    x = 91,625.74

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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.