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Finding the Fourth Proportional to 267,977.32, 401,375.49 and 149,354.44

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Solution

The fourth proportional to 267,977.32, 401,375.49 and 149,354.44 is: 223,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,977.32 : 401,375.49 = 149,354.44 : x
  2. Step 2: Convert to fraction form
    267,977.32/401,375.49 = 149,354.44/x
  3. Step 3: Cross multiply
    267,977.32x = 401,375.49 × 149,354.44
  4. Step 4: Simplify right side
    267,977.32x = 59,947,211,538.68
  5. Step 5: Solve for x
    x = 59,947,211,538.68/267,977.32
  6. Step 6: Final answer
    x = 223,702.56

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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.