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Finding the Fourth Proportional to 132,227.40, 198,098.10 and 61,951.80

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Solution

The fourth proportional to 132,227.40, 198,098.10 and 61,951.80 is: 92,813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,227.40 : 198,098.10 = 61,951.80 : x
  2. Step 2: Convert to fraction form
    132,227.40/198,098.10 = 61,951.80/x
  3. Step 3: Cross multiply
    132,227.40x = 198,098.10 × 61,951.80
  4. Step 4: Simplify right side
    132,227.40x = 12,272,533,871.58
  5. Step 5: Solve for x
    x = 12,272,533,871.58/132,227.40
  6. Step 6: Final answer
    x = 92,813.85

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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.