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Finding the Fourth Proportional to 106,758.92, 160,195.49 and 69,310.19

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Solution

The fourth proportional to 106,758.92, 160,195.49 and 69,310.19 is: 104,002.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,758.92 : 160,195.49 = 69,310.19 : x
  2. Step 2: Convert to fraction form
    106,758.92/160,195.49 = 69,310.19/x
  3. Step 3: Cross multiply
    106,758.92x = 160,195.49 × 69,310.19
  4. Step 4: Simplify right side
    106,758.92x = 11,103,179,849.04
  5. Step 5: Solve for x
    x = 11,103,179,849.04/106,758.92
  6. Step 6: Final answer
    x = 104,002.36

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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.