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Finding the Fourth Proportional to 132,212.58, 198,121.92 and 73,065.14

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Solution

The fourth proportional to 132,212.58, 198,121.92 and 73,065.14 is: 109,488.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,212.58 : 198,121.92 = 73,065.14 : x
  2. Step 2: Convert to fraction form
    132,212.58/198,121.92 = 73,065.14/x
  3. Step 3: Cross multiply
    132,212.58x = 198,121.92 × 73,065.14
  4. Step 4: Simplify right side
    132,212.58x = 14,475,805,821.87
  5. Step 5: Solve for x
    x = 14,475,805,821.87/132,212.58
  6. Step 6: Final answer
    x = 109,488.87

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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.