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Finding the Fourth Proportional to 234,807.80, 323,791.20 and 200,928.42

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Solution

The fourth proportional to 234,807.80, 323,791.20 and 200,928.42 is: 277,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,807.80 : 323,791.20 = 200,928.42 : x
  2. Step 2: Convert to fraction form
    234,807.80/323,791.20 = 200,928.42/x
  3. Step 3: Cross multiply
    234,807.80x = 323,791.20 × 200,928.42
  4. Step 4: Simplify right side
    234,807.80x = 65,058,854,225.90
  5. Step 5: Solve for x
    x = 65,058,854,225.90/234,807.80
  6. Step 6: Final answer
    x = 277,072.80

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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.