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Finding the Fourth Proportional to 231,843.30, 347,815.35 and 132,051.30

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Solution

The fourth proportional to 231,843.30, 347,815.35 and 132,051.30 is: 198,105.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,843.30 : 347,815.35 = 132,051.30 : x
  2. Step 2: Convert to fraction form
    231,843.30/347,815.35 = 132,051.30/x
  3. Step 3: Cross multiply
    231,843.30x = 347,815.35 × 132,051.30
  4. Step 4: Simplify right side
    231,843.30x = 45,929,469,127.46
  5. Step 5: Solve for x
    x = 45,929,469,127.46/231,843.30
  6. Step 6: Final answer
    x = 198,105.66

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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.