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Finding the Fourth Proportional to 226,534.22, 339,799.80 and 76,879.86

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Solution

The fourth proportional to 226,534.22, 339,799.80 and 76,879.86 is: 115,319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,534.22 : 339,799.80 = 76,879.86 : x
  2. Step 2: Convert to fraction form
    226,534.22/339,799.80 = 76,879.86/x
  3. Step 3: Cross multiply
    226,534.22x = 339,799.80 × 76,879.86
  4. Step 4: Simplify right side
    226,534.22x = 26,123,761,052.03
  5. Step 5: Solve for x
    x = 26,123,761,052.03/226,534.22
  6. Step 6: Final answer
    x = 115,319.27

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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.