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Finding the Fourth Proportional to 226,781.80, 339,763.10 and 200,567.40

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Solution

The fourth proportional to 226,781.80, 339,763.10 and 200,567.40 is: 300,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,781.80 : 339,763.10 = 200,567.40 : x
  2. Step 2: Convert to fraction form
    226,781.80/339,763.10 = 200,567.40/x
  3. Step 3: Cross multiply
    226,781.80x = 339,763.10 × 200,567.40
  4. Step 4: Simplify right side
    226,781.80x = 68,145,401,582.94
  5. Step 5: Solve for x
    x = 68,145,401,582.94/226,781.80
  6. Step 6: Final answer
    x = 300,488.85

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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.