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Finding the Fourth Proportional to 132,098.65, 198,163.01 and 47,898.47

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Solution

The fourth proportional to 132,098.65, 198,163.01 and 47,898.47 is: 71,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,098.65 : 198,163.01 = 47,898.47 : x
  2. Step 2: Convert to fraction form
    132,098.65/198,163.01 = 47,898.47/x
  3. Step 3: Cross multiply
    132,098.65x = 198,163.01 × 47,898.47
  4. Step 4: Simplify right side
    132,098.65x = 9,491,704,989.59
  5. Step 5: Solve for x
    x = 9,491,704,989.59/132,098.65
  6. Step 6: Final answer
    x = 71,853.16

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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.