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Finding the Fourth Proportional to 106,687.62, 160,131.87 and 54,134.82

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Solution

The fourth proportional to 106,687.62, 160,131.87 and 54,134.82 is: 81,253.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,687.62 : 160,131.87 = 54,134.82 : x
  2. Step 2: Convert to fraction form
    106,687.62/160,131.87 = 54,134.82/x
  3. Step 3: Cross multiply
    106,687.62x = 160,131.87 × 54,134.82
  4. Step 4: Simplify right side
    106,687.62x = 8,668,709,958.71
  5. Step 5: Solve for x
    x = 8,668,709,958.71/106,687.62
  6. Step 6: Final answer
    x = 81,253.19

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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.