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Finding the Fourth Proportional to 217,863.88, 326,795.57 and 75,709.17

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Solution

The fourth proportional to 217,863.88, 326,795.57 and 75,709.17 is: 113,563.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,863.88 : 326,795.57 = 75,709.17 : x
  2. Step 2: Convert to fraction form
    217,863.88/326,795.57 = 75,709.17/x
  3. Step 3: Cross multiply
    217,863.88x = 326,795.57 × 75,709.17
  4. Step 4: Simplify right side
    217,863.88x = 24,741,419,589.87
  5. Step 5: Solve for x
    x = 24,741,419,589.87/217,863.88
  6. Step 6: Final answer
    x = 113,563.66

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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.