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Finding the Fourth Proportional to 226,654.26, 339,864.34 and 66,709.38

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Solution

The fourth proportional to 226,654.26, 339,864.34 and 66,709.38 is: 100,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,654.26 : 339,864.34 = 66,709.38 : x
  2. Step 2: Convert to fraction form
    226,654.26/339,864.34 = 66,709.38/x
  3. Step 3: Cross multiply
    226,654.26x = 339,864.34 × 66,709.38
  4. Step 4: Simplify right side
    226,654.26x = 22,672,138,726.57
  5. Step 5: Solve for x
    x = 22,672,138,726.57/226,654.26
  6. Step 6: Final answer
    x = 100,029.62

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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.