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Finding the Fourth Proportional to 267,930.70, 401,896.05 and 110,272.30

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Solution

The fourth proportional to 267,930.70, 401,896.05 and 110,272.30 is: 165,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,930.70 : 401,896.05 = 110,272.30 : x
  2. Step 2: Convert to fraction form
    267,930.70/401,896.05 = 110,272.30/x
  3. Step 3: Cross multiply
    267,930.70x = 401,896.05 × 110,272.30
  4. Step 4: Simplify right side
    267,930.70x = 44,318,001,794.42
  5. Step 5: Solve for x
    x = 44,318,001,794.42/267,930.70
  6. Step 6: Final answer
    x = 165,408.45

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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.