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Finding the Fourth Proportional to 107,044.96, 160,537.20 and 67,542.88

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Solution

The fourth proportional to 107,044.96, 160,537.20 and 67,542.88 is: 101,295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,044.96 : 160,537.20 = 67,542.88 : x
  2. Step 2: Convert to fraction form
    107,044.96/160,537.20 = 67,542.88/x
  3. Step 3: Cross multiply
    107,044.96x = 160,537.20 × 67,542.88
  4. Step 4: Simplify right side
    107,044.96x = 10,843,144,835.14
  5. Step 5: Solve for x
    x = 10,843,144,835.14/107,044.96
  6. Step 6: Final answer
    x = 101,295.24

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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.