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Finding the Fourth Proportional to 132,069.40, 198,104.10 and 47,869.90

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Solution

The fourth proportional to 132,069.40, 198,104.10 and 47,869.90 is: 71,804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,069.40 : 198,104.10 = 47,869.90 : x
  2. Step 2: Convert to fraction form
    132,069.40/198,104.10 = 47,869.90/x
  3. Step 3: Cross multiply
    132,069.40x = 198,104.10 × 47,869.90
  4. Step 4: Simplify right side
    132,069.40x = 9,483,223,456.59
  5. Step 5: Solve for x
    x = 9,483,223,456.59/132,069.40
  6. Step 6: Final answer
    x = 71,804.85

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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.