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Finding the Fourth Proportional to 180,354.60, 270,629.10 and 75,184.20

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Solution

The fourth proportional to 180,354.60, 270,629.10 and 75,184.20 is: 112,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,354.60 : 270,629.10 = 75,184.20 : x
  2. Step 2: Convert to fraction form
    180,354.60/270,629.10 = 75,184.20/x
  3. Step 3: Cross multiply
    180,354.60x = 270,629.10 × 75,184.20
  4. Step 4: Simplify right side
    180,354.60x = 20,347,032,380.22
  5. Step 5: Solve for x
    x = 20,347,032,380.22/180,354.60
  6. Step 6: Final answer
    x = 112,816.82

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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.