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Finding the Fourth Proportional to 132,059.38, 198,104.47 and 47,859.20

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Solution

The fourth proportional to 132,059.38, 198,104.47 and 47,859.20 is: 71,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,059.38 : 198,104.47 = 47,859.20 : x
  2. Step 2: Convert to fraction form
    132,059.38/198,104.47 = 47,859.20/x
  3. Step 3: Cross multiply
    132,059.38x = 198,104.47 × 47,859.20
  4. Step 4: Simplify right side
    132,059.38x = 9,481,121,450.62
  5. Step 5: Solve for x
    x = 9,481,121,450.62/132,059.38
  6. Step 6: Final answer
    x = 71,794.38

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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.