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Finding the Fourth Proportional to 217,147.91, 325,762.82 and 82,252.39

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Solution

The fourth proportional to 217,147.91, 325,762.82 and 82,252.39 is: 123,394.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,147.91 : 325,762.82 = 82,252.39 : x
  2. Step 2: Convert to fraction form
    217,147.91/325,762.82 = 82,252.39/x
  3. Step 3: Cross multiply
    217,147.91x = 325,762.82 × 82,252.39
  4. Step 4: Simplify right side
    217,147.91x = 26,794,769,353.35
  5. Step 5: Solve for x
    x = 26,794,769,353.35/217,147.91
  6. Step 6: Final answer
    x = 123,394.09

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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.