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Finding the Fourth Proportional to 217,147.28, 325,764.45 and 74,997.76

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Solution

The fourth proportional to 217,147.28, 325,764.45 and 74,997.76 is: 112,511.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,147.28 : 325,764.45 = 74,997.76 : x
  2. Step 2: Convert to fraction form
    217,147.28/325,764.45 = 74,997.76/x
  3. Step 3: Cross multiply
    217,147.28x = 325,764.45 × 74,997.76
  4. Step 4: Simplify right side
    217,147.28x = 24,431,604,570.80
  5. Step 5: Solve for x
    x = 24,431,604,570.80/217,147.28
  6. Step 6: Final answer
    x = 112,511.68

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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.