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Finding the Fourth Proportional to 231,841.80, 347,813.10 and 132,049.80

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Solution

The fourth proportional to 231,841.80, 347,813.10 and 132,049.80 is: 198,103.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,841.80 : 347,813.10 = 132,049.80 : x
  2. Step 2: Convert to fraction form
    231,841.80/347,813.10 = 132,049.80/x
  3. Step 3: Cross multiply
    231,841.80x = 347,813.10 × 132,049.80
  4. Step 4: Simplify right side
    231,841.80x = 45,928,650,292.38
  5. Step 5: Solve for x
    x = 45,928,650,292.38/231,841.80
  6. Step 6: Final answer
    x = 198,103.41

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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.