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Finding the Fourth Proportional to 137,902.22, 206,935.96 and 59,016.54

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Solution

The fourth proportional to 137,902.22, 206,935.96 and 59,016.54 is: 88,560.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,902.22 : 206,935.96 = 59,016.54 : x
  2. Step 2: Convert to fraction form
    137,902.22/206,935.96 = 59,016.54/x
  3. Step 3: Cross multiply
    137,902.22x = 206,935.96 × 59,016.54
  4. Step 4: Simplify right side
    137,902.22x = 12,212,644,360.78
  5. Step 5: Solve for x
    x = 12,212,644,360.78/137,902.22
  6. Step 6: Final answer
    x = 88,560.17

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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.