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Finding the Fourth Proportional to 120,119.28, 165,759.53 and 71,092.68

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Solution

The fourth proportional to 120,119.28, 165,759.53 and 71,092.68 is: 98,104.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,119.28 : 165,759.53 = 71,092.68 : x
  2. Step 2: Convert to fraction form
    120,119.28/165,759.53 = 71,092.68/x
  3. Step 3: Cross multiply
    120,119.28x = 165,759.53 × 71,092.68
  4. Step 4: Simplify right side
    120,119.28x = 11,784,288,246.18
  5. Step 5: Solve for x
    x = 11,784,288,246.18/120,119.28
  6. Step 6: Final answer
    x = 98,104.89

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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.