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Finding the Fourth Proportional to 107,132.91, 160,683.87 and 75,014.54

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Solution

The fourth proportional to 107,132.91, 160,683.87 and 75,014.54 is: 112,510.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,132.91 : 160,683.87 = 75,014.54 : x
  2. Step 2: Convert to fraction form
    107,132.91/160,683.87 = 75,014.54/x
  3. Step 3: Cross multiply
    107,132.91x = 160,683.87 × 75,014.54
  4. Step 4: Simplify right side
    107,132.91x = 12,053,626,593.47
  5. Step 5: Solve for x
    x = 12,053,626,593.47/107,132.91
  6. Step 6: Final answer
    x = 112,510.96

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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.