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Finding the Fourth Proportional to 144,016.52, 198,754.02 and 80,363.88

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Solution

The fourth proportional to 144,016.52, 198,754.02 and 80,363.88 is: 110,908.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,016.52 : 198,754.02 = 80,363.88 : x
  2. Step 2: Convert to fraction form
    144,016.52/198,754.02 = 80,363.88/x
  3. Step 3: Cross multiply
    144,016.52x = 198,754.02 × 80,363.88
  4. Step 4: Simplify right side
    144,016.52x = 15,972,644,212.80
  5. Step 5: Solve for x
    x = 15,972,644,212.80/144,016.52
  6. Step 6: Final answer
    x = 110,908.42

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Why These Related Problems?

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