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Finding the Fourth Proportional to 142,721.65, 213,791.82 and 67,614.13

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Solution

The fourth proportional to 142,721.65, 213,791.82 and 67,614.13 is: 101,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,721.65 : 213,791.82 = 67,614.13 : x
  2. Step 2: Convert to fraction form
    142,721.65/213,791.82 = 67,614.13/x
  3. Step 3: Cross multiply
    142,721.65x = 213,791.82 × 67,614.13
  4. Step 4: Simplify right side
    142,721.65x = 14,455,347,910.42
  5. Step 5: Solve for x
    x = 14,455,347,910.42/142,721.65
  6. Step 6: Final answer
    x = 101,283.50

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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.