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Finding the Fourth Proportional to 106,578.20, 160,104.90 and 89,082.20

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Solution

The fourth proportional to 106,578.20, 160,104.90 and 89,082.20 is: 133,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,578.20 : 160,104.90 = 89,082.20 : x
  2. Step 2: Convert to fraction form
    106,578.20/160,104.90 = 89,082.20/x
  3. Step 3: Cross multiply
    106,578.20x = 160,104.90 × 89,082.20
  4. Step 4: Simplify right side
    106,578.20x = 14,262,496,722.78
  5. Step 5: Solve for x
    x = 14,262,496,722.78/106,578.20
  6. Step 6: Final answer
    x = 133,821.90

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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.