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Finding the Fourth Proportional to 132,407.70, 198,538.65 and 53,432.70

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Solution

The fourth proportional to 132,407.70, 198,538.65 and 53,432.70 is: 80,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,407.70 : 198,538.65 = 53,432.70 : x
  2. Step 2: Convert to fraction form
    132,407.70/198,538.65 = 53,432.70/x
  3. Step 3: Cross multiply
    132,407.70x = 198,538.65 × 53,432.70
  4. Step 4: Simplify right side
    132,407.70x = 10,608,456,123.86
  5. Step 5: Solve for x
    x = 10,608,456,123.86/132,407.70
  6. Step 6: Final answer
    x = 80,119.63

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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.