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Finding the Fourth Proportional to 192,874.22, 289,357.52 and 80,491.92

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Solution

The fourth proportional to 192,874.22, 289,357.52 and 80,491.92 is: 120,757.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,874.22 : 289,357.52 = 80,491.92 : x
  2. Step 2: Convert to fraction form
    192,874.22/289,357.52 = 80,491.92/x
  3. Step 3: Cross multiply
    192,874.22x = 289,357.52 × 80,491.92
  4. Step 4: Simplify right side
    192,874.22x = 23,290,942,049.39
  5. Step 5: Solve for x
    x = 23,290,942,049.39/192,874.22
  6. Step 6: Final answer
    x = 120,757.16

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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.