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Finding the Fourth Proportional to 226,876.80, 339,796.80 and 133,564.80

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Solution

The fourth proportional to 226,876.80, 339,796.80 and 133,564.80 is: 200,042.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,876.80 : 339,796.80 = 133,564.80 : x
  2. Step 2: Convert to fraction form
    226,876.80/339,796.80 = 133,564.80/x
  3. Step 3: Cross multiply
    226,876.80x = 339,796.80 × 133,564.80
  4. Step 4: Simplify right side
    226,876.80x = 45,384,891,632.64
  5. Step 5: Solve for x
    x = 45,384,891,632.64/226,876.80
  6. Step 6: Final answer
    x = 200,042.01

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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.