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Finding the Fourth Proportional to 132,642.76, 199,046.17 and 53,757.67

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Solution

The fourth proportional to 132,642.76, 199,046.17 and 53,757.67 is: 80,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,642.76 : 199,046.17 = 53,757.67 : x
  2. Step 2: Convert to fraction form
    132,642.76/199,046.17 = 53,757.67/x
  3. Step 3: Cross multiply
    132,642.76x = 199,046.17 × 53,757.67
  4. Step 4: Simplify right side
    132,642.76x = 10,700,258,321.62
  5. Step 5: Solve for x
    x = 10,700,258,321.62/132,642.76
  6. Step 6: Final answer
    x = 80,669.75

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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.