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Finding the Fourth Proportional to 92,231.76, 138,413.25 and 71,192.82

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Solution

The fourth proportional to 92,231.76, 138,413.25 and 71,192.82 is: 106,839.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,231.76 : 138,413.25 = 71,192.82 : x
  2. Step 2: Convert to fraction form
    92,231.76/138,413.25 = 71,192.82/x
  3. Step 3: Cross multiply
    92,231.76x = 138,413.25 × 71,192.82
  4. Step 4: Simplify right side
    92,231.76x = 9,854,029,592.87
  5. Step 5: Solve for x
    x = 9,854,029,592.87/92,231.76
  6. Step 6: Final answer
    x = 106,839.87

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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.