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Finding the Fourth Proportional to 267,408.64, 401,025.45 and 125,209.90

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Solution

The fourth proportional to 267,408.64, 401,025.45 and 125,209.90 is: 187,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,408.64 : 401,025.45 = 125,209.90 : x
  2. Step 2: Convert to fraction form
    267,408.64/401,025.45 = 125,209.90/x
  3. Step 3: Cross multiply
    267,408.64x = 401,025.45 × 125,209.90
  4. Step 4: Simplify right side
    267,408.64x = 50,212,356,491.96
  5. Step 5: Solve for x
    x = 50,212,356,491.96/267,408.64
  6. Step 6: Final answer
    x = 187,773.87

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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.