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Finding the Fourth Proportional to 132,189.57, 198,283.41 and 32,351.20

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Solution

The fourth proportional to 132,189.57, 198,283.41 and 32,351.20 is: 48,526.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,189.57 : 198,283.41 = 32,351.20 : x
  2. Step 2: Convert to fraction form
    132,189.57/198,283.41 = 32,351.20/x
  3. Step 3: Cross multiply
    132,189.57x = 198,283.41 × 32,351.20
  4. Step 4: Simplify right side
    132,189.57x = 6,414,705,757.88
  5. Step 5: Solve for x
    x = 6,414,705,757.88/132,189.57
  6. Step 6: Final answer
    x = 48,526.56

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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.