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Finding the Fourth Proportional to 132,099.16, 198,163.76 and 47,898.96

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Solution

The fourth proportional to 132,099.16, 198,163.76 and 47,898.96 is: 71,853.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,099.16 : 198,163.76 = 47,898.96 : x
  2. Step 2: Convert to fraction form
    132,099.16/198,163.76 = 47,898.96/x
  3. Step 3: Cross multiply
    132,099.16x = 198,163.76 × 47,898.96
  4. Step 4: Simplify right side
    132,099.16x = 9,491,838,013.69
  5. Step 5: Solve for x
    x = 9,491,838,013.69/132,099.16
  6. Step 6: Final answer
    x = 71,853.89

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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.