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Finding the Fourth Proportional to 100,197.52, 138,269.17 and 57,179.38

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Solution

The fourth proportional to 100,197.52, 138,269.17 and 57,179.38 is: 78,905.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,197.52 : 138,269.17 = 57,179.38 : x
  2. Step 2: Convert to fraction form
    100,197.52/138,269.17 = 57,179.38/x
  3. Step 3: Cross multiply
    100,197.52x = 138,269.17 × 57,179.38
  4. Step 4: Simplify right side
    100,197.52x = 7,906,145,413.71
  5. Step 5: Solve for x
    x = 7,906,145,413.71/100,197.52
  6. Step 6: Final answer
    x = 78,905.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.