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Finding the Fourth Proportional to 217,294.56, 325,861.92 and 75,103.92

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Solution

The fourth proportional to 217,294.56, 325,861.92 and 75,103.92 is: 112,628.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,294.56 : 325,861.92 = 75,103.92 : x
  2. Step 2: Convert to fraction form
    217,294.56/325,861.92 = 75,103.92/x
  3. Step 3: Cross multiply
    217,294.56x = 325,861.92 × 75,103.92
  4. Step 4: Simplify right side
    217,294.56x = 24,473,507,570.73
  5. Step 5: Solve for x
    x = 24,473,507,570.73/217,294.56
  6. Step 6: Final answer
    x = 112,628.26

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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.