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Finding the Fourth Proportional to 226,996.80, 339,976.80 and 133,684.80

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Solution

The fourth proportional to 226,996.80, 339,976.80 and 133,684.80 is: 200,221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,996.80 : 339,976.80 = 133,684.80 : x
  2. Step 2: Convert to fraction form
    226,996.80/339,976.80 = 133,684.80/x
  3. Step 3: Cross multiply
    226,996.80x = 339,976.80 × 133,684.80
  4. Step 4: Simplify right side
    226,996.80x = 45,449,730,512.64
  5. Step 5: Solve for x
    x = 45,449,730,512.64/226,996.80
  6. Step 6: Final answer
    x = 200,221.90

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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.