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Finding the Fourth Proportional to 105,872.96, 146,067.36 and 65,023.04

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Solution

The fourth proportional to 105,872.96, 146,067.36 and 65,023.04 is: 89,708.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,872.96 : 146,067.36 = 65,023.04 : x
  2. Step 2: Convert to fraction form
    105,872.96/146,067.36 = 65,023.04/x
  3. Step 3: Cross multiply
    105,872.96x = 146,067.36 × 65,023.04
  4. Step 4: Simplify right side
    105,872.96x = 9,497,743,791.97
  5. Step 5: Solve for x
    x = 9,497,743,791.97/105,872.96
  6. Step 6: Final answer
    x = 89,708.87

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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.