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Finding the Fourth Proportional to 226,397.76, 339,577.05 and 76,634.85

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Solution

The fourth proportional to 226,397.76, 339,577.05 and 76,634.85 is: 114,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,397.76 : 339,577.05 = 76,634.85 : x
  2. Step 2: Convert to fraction form
    226,397.76/339,577.05 = 76,634.85/x
  3. Step 3: Cross multiply
    226,397.76x = 339,577.05 × 76,634.85
  4. Step 4: Simplify right side
    226,397.76x = 26,023,436,290.19
  5. Step 5: Solve for x
    x = 26,023,436,290.19/226,397.76
  6. Step 6: Final answer
    x = 114,945.64

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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.