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Finding the Fourth Proportional to 226,102.52, 339,201.78 and 85,858.04

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Solution

The fourth proportional to 226,102.52, 339,201.78 and 85,858.04 is: 128,805.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,102.52 : 339,201.78 = 85,858.04 : x
  2. Step 2: Convert to fraction form
    226,102.52/339,201.78 = 85,858.04/x
  3. Step 3: Cross multiply
    226,102.52x = 339,201.78 × 85,858.04
  4. Step 4: Simplify right side
    226,102.52x = 29,123,199,995.31
  5. Step 5: Solve for x
    x = 29,123,199,995.31/226,102.52
  6. Step 6: Final answer
    x = 128,805.29

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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.