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Finding the Fourth Proportional to 137,906.97, 206,943.09 and 59,021.28

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Solution

The fourth proportional to 137,906.97, 206,943.09 and 59,021.28 is: 88,567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,906.97 : 206,943.09 = 59,021.28 : x
  2. Step 2: Convert to fraction form
    137,906.97/206,943.09 = 59,021.28/x
  3. Step 3: Cross multiply
    137,906.97x = 206,943.09 × 59,021.28
  4. Step 4: Simplify right side
    137,906.97x = 12,214,046,058.96
  5. Step 5: Solve for x
    x = 12,214,046,058.96/137,906.97
  6. Step 6: Final answer
    x = 88,567.29

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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.