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Finding the Fourth Proportional to 144,042.65, 198,760.52 and 80,383.13

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Solution

The fourth proportional to 144,042.65, 198,760.52 and 80,383.13 is: 110,918.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,042.65 : 198,760.52 = 80,383.13 : x
  2. Step 2: Convert to fraction form
    144,042.65/198,760.52 = 80,383.13/x
  3. Step 3: Cross multiply
    144,042.65x = 198,760.52 × 80,383.13
  4. Step 4: Simplify right side
    144,042.65x = 15,976,992,218.38
  5. Step 5: Solve for x
    x = 15,976,992,218.38/144,042.65
  6. Step 6: Final answer
    x = 110,918.48

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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.