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Finding the Fourth Proportional to 138,963.50, 208,413.81 and 82,819.56

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Solution

The fourth proportional to 138,963.50, 208,413.81 and 82,819.56 is: 124,210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,963.50 : 208,413.81 = 82,819.56 : x
  2. Step 2: Convert to fraction form
    138,963.50/208,413.81 = 82,819.56/x
  3. Step 3: Cross multiply
    138,963.50x = 208,413.81 × 82,819.56
  4. Step 4: Simplify right side
    138,963.50x = 17,260,740,823.68
  5. Step 5: Solve for x
    x = 17,260,740,823.68/138,963.50
  6. Step 6: Final answer
    x = 124,210.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.