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Finding the Fourth Proportional to 267,229.44, 400,843.44 and 109,458

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Solution

The fourth proportional to 267,229.44, 400,843.44 and 109,458 is: 164,186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,229.44 : 400,843.44 = 109,458 : x
  2. Step 2: Convert to fraction form
    267,229.44/400,843.44 = 109,458/x
  3. Step 3: Cross multiply
    267,229.44x = 400,843.44 × 109,458
  4. Step 4: Simplify right side
    267,229.44x = 43,875,521,255.52
  5. Step 5: Solve for x
    x = 43,875,521,255.52/267,229.44
  6. Step 6: Final answer
    x = 164,186.71

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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.