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Finding the Fourth Proportional to 281,229.38, 387,692.79 and 200,516.79

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Solution

The fourth proportional to 281,229.38, 387,692.79 and 200,516.79 is: 276,425.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,229.38 : 387,692.79 = 200,516.79 : x
  2. Step 2: Convert to fraction form
    281,229.38/387,692.79 = 200,516.79/x
  3. Step 3: Cross multiply
    281,229.38x = 387,692.79 × 200,516.79
  4. Step 4: Simplify right side
    281,229.38x = 77,738,913,756.94
  5. Step 5: Solve for x
    x = 77,738,913,756.94/281,229.38
  6. Step 6: Final answer
    x = 276,425.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.