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Finding the Fourth Proportional to 138,466, 191,083.89 and 81,139.15

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Solution

The fourth proportional to 138,466, 191,083.89 and 81,139.15 is: 111,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,466 : 191,083.89 = 81,139.15 : x
  2. Step 2: Convert to fraction form
    138,466/191,083.89 = 81,139.15/x
  3. Step 3: Cross multiply
    138,466x = 191,083.89 × 81,139.15
  4. Step 4: Simplify right side
    138,466x = 15,504,384,413.29
  5. Step 5: Solve for x
    x = 15,504,384,413.29/138,466
  6. Step 6: Final answer
    x = 111,972.50

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