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Finding the Fourth Proportional to 106,082.26, 159,111.50 and 27,198.34

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Solution

The fourth proportional to 106,082.26, 159,111.50 and 27,198.34 is: 40,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,082.26 : 159,111.50 = 27,198.34 : x
  2. Step 2: Convert to fraction form
    106,082.26/159,111.50 = 27,198.34/x
  3. Step 3: Cross multiply
    106,082.26x = 159,111.50 × 27,198.34
  4. Step 4: Simplify right side
    106,082.26x = 4,327,568,674.91
  5. Step 5: Solve for x
    x = 4,327,568,674.91/106,082.26
  6. Step 6: Final answer
    x = 40,794.46

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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.