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Finding the Fourth Proportional to 132,176.00, 198,321.08 and 47,948.11

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Solution

The fourth proportional to 132,176.00, 198,321.08 and 47,948.11 is: 71,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,176.00 : 198,321.08 = 47,948.11 : x
  2. Step 2: Convert to fraction form
    132,176.00/198,321.08 = 47,948.11/x
  3. Step 3: Cross multiply
    132,176.00x = 198,321.08 × 47,948.11
  4. Step 4: Simplify right side
    132,176.00x = 9,509,120,223.62
  5. Step 5: Solve for x
    x = 9,509,120,223.62/132,176.00
  6. Step 6: Final answer
    x = 71,942.86

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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.