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Finding the Fourth Proportional to 109,356.57, 164,034.84 and 26,250.57

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Solution

The fourth proportional to 109,356.57, 164,034.84 and 26,250.57 is: 39,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,356.57 : 164,034.84 = 26,250.57 : x
  2. Step 2: Convert to fraction form
    109,356.57/164,034.84 = 26,250.57/x
  3. Step 3: Cross multiply
    109,356.57x = 164,034.84 × 26,250.57
  4. Step 4: Simplify right side
    109,356.57x = 4,306,008,049.86
  5. Step 5: Solve for x
    x = 4,306,008,049.86/109,356.57
  6. Step 6: Final answer
    x = 39,375.85

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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.