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Finding the Fourth Proportional to 144,951.48, 217,317.56 and 95,044.14

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Solution

The fourth proportional to 144,951.48, 217,317.56 and 95,044.14 is: 142,494.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,951.48 : 217,317.56 = 95,044.14 : x
  2. Step 2: Convert to fraction form
    144,951.48/217,317.56 = 95,044.14/x
  3. Step 3: Cross multiply
    144,951.48x = 217,317.56 × 95,044.14
  4. Step 4: Simplify right side
    144,951.48x = 20,654,760,597.10
  5. Step 5: Solve for x
    x = 20,654,760,597.10/144,951.48
  6. Step 6: Final answer
    x = 142,494.31

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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.