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Finding the Fourth Proportional to 226,767.80, 339,742.10 and 200,553.40

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Solution

The fourth proportional to 226,767.80, 339,742.10 and 200,553.40 is: 300,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,767.80 : 339,742.10 = 200,553.40 : x
  2. Step 2: Convert to fraction form
    226,767.80/339,742.10 = 200,553.40/x
  3. Step 3: Cross multiply
    226,767.80x = 339,742.10 × 200,553.40
  4. Step 4: Simplify right side
    226,767.80x = 68,136,433,278.14
  5. Step 5: Solve for x
    x = 68,136,433,278.14/226,767.80
  6. Step 6: Final answer
    x = 300,467.85

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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.