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Finding the Fourth Proportional to 231,757.44, 347,706.18 and 96,887.04

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Solution

The fourth proportional to 231,757.44, 347,706.18 and 96,887.04 is: 145,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,757.44 : 347,706.18 = 96,887.04 : x
  2. Step 2: Convert to fraction form
    231,757.44/347,706.18 = 96,887.04/x
  3. Step 3: Cross multiply
    231,757.44x = 347,706.18 × 96,887.04
  4. Step 4: Simplify right side
    231,757.44x = 33,688,222,569.91
  5. Step 5: Solve for x
    x = 33,688,222,569.91/231,757.44
  6. Step 6: Final answer
    x = 145,359.83

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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.