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Finding the Fourth Proportional to 160,354.26, 240,537.87 and 71,591.22

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Solution

The fourth proportional to 160,354.26, 240,537.87 and 71,591.22 is: 107,389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,354.26 : 240,537.87 = 71,591.22 : x
  2. Step 2: Convert to fraction form
    160,354.26/240,537.87 = 71,591.22/x
  3. Step 3: Cross multiply
    160,354.26x = 240,537.87 × 71,591.22
  4. Step 4: Simplify right side
    160,354.26x = 17,220,399,569.50
  5. Step 5: Solve for x
    x = 17,220,399,569.50/160,354.26
  6. Step 6: Final answer
    x = 107,389.72

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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.