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Finding the Fourth Proportional to 267,372, 400,791.12 and 133,844.64

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Solution

The fourth proportional to 267,372, 400,791.12 and 133,844.64 is: 200,633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,372 : 400,791.12 = 133,844.64 : x
  2. Step 2: Convert to fraction form
    267,372/400,791.12 = 133,844.64/x
  3. Step 3: Cross multiply
    267,372x = 400,791.12 × 133,844.64
  4. Step 4: Simplify right side
    267,372x = 53,643,743,171.60
  5. Step 5: Solve for x
    x = 53,643,743,171.60/267,372
  6. Step 6: Final answer
    x = 200,633.36

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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.