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Finding the Fourth Proportional to 137,132.20, 205,713.42 and 43,616.08

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Solution

The fourth proportional to 137,132.20, 205,713.42 and 43,616.08 is: 65,428.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,132.20 : 205,713.42 = 43,616.08 : x
  2. Step 2: Convert to fraction form
    137,132.20/205,713.42 = 43,616.08/x
  3. Step 3: Cross multiply
    137,132.20x = 205,713.42 × 43,616.08
  4. Step 4: Simplify right side
    137,132.20x = 8,972,412,983.79
  5. Step 5: Solve for x
    x = 8,972,412,983.79/137,132.20
  6. Step 6: Final answer
    x = 65,428.93

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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.