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Finding the Fourth Proportional to 180,324.60, 270,486.90 and 75,129.90

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Solution

The fourth proportional to 180,324.60, 270,486.90 and 75,129.90 is: 112,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,324.60 : 270,486.90 = 75,129.90 : x
  2. Step 2: Convert to fraction form
    180,324.60/270,486.90 = 75,129.90/x
  3. Step 3: Cross multiply
    180,324.60x = 270,486.90 × 75,129.90
  4. Step 4: Simplify right side
    180,324.60x = 20,321,653,748.31
  5. Step 5: Solve for x
    x = 20,321,653,748.31/180,324.60
  6. Step 6: Final answer
    x = 112,694.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.