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Finding the Fourth Proportional to 180,788.70, 271,134.45 and 75,585.90

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Solution

The fourth proportional to 180,788.70, 271,134.45 and 75,585.90 is: 113,358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,788.70 : 271,134.45 = 75,585.90 : x
  2. Step 2: Convert to fraction form
    180,788.70/271,134.45 = 75,585.90/x
  3. Step 3: Cross multiply
    180,788.70x = 271,134.45 × 75,585.90
  4. Step 4: Simplify right side
    180,788.70x = 20,493,941,424.26
  5. Step 5: Solve for x
    x = 20,493,941,424.26/180,788.70
  6. Step 6: Final answer
    x = 113,358.53

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Why These Related Problems?

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