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Finding the Fourth Proportional to 138,209.76, 206,124.48 and 135,721.44

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Solution

The fourth proportional to 138,209.76, 206,124.48 and 135,721.44 is: 202,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,209.76 : 206,124.48 = 135,721.44 : x
  2. Step 2: Convert to fraction form
    138,209.76/206,124.48 = 135,721.44/x
  3. Step 3: Cross multiply
    138,209.76x = 206,124.48 × 135,721.44
  4. Step 4: Simplify right side
    138,209.76x = 27,975,511,244.85
  5. Step 5: Solve for x
    x = 27,975,511,244.85/138,209.76
  6. Step 6: Final answer
    x = 202,413.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.