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Finding the Fourth Proportional to 150,093.78, 225,140.66 and 71,164.95

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Solution

The fourth proportional to 150,093.78, 225,140.66 and 71,164.95 is: 106,747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,093.78 : 225,140.66 = 71,164.95 : x
  2. Step 2: Convert to fraction form
    150,093.78/225,140.66 = 71,164.95/x
  3. Step 3: Cross multiply
    150,093.78x = 225,140.66 × 71,164.95
  4. Step 4: Simplify right side
    150,093.78x = 16,022,123,456.04
  5. Step 5: Solve for x
    x = 16,022,123,456.04/150,093.78
  6. Step 6: Final answer
    x = 106,747.42

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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.