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Finding the Fourth Proportional to 267,947.70, 401,921.55 and 110,289.30

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Solution

The fourth proportional to 267,947.70, 401,921.55 and 110,289.30 is: 165,433.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,947.70 : 401,921.55 = 110,289.30 : x
  2. Step 2: Convert to fraction form
    267,947.70/401,921.55 = 110,289.30/x
  3. Step 3: Cross multiply
    267,947.70x = 401,921.55 × 110,289.30
  4. Step 4: Simplify right side
    267,947.70x = 44,327,646,404.42
  5. Step 5: Solve for x
    x = 44,327,646,404.42/267,947.70
  6. Step 6: Final answer
    x = 165,433.95

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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.