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Finding the Fourth Proportional to 267,745.20, 401,404.68 and 132,714.24

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Solution

The fourth proportional to 267,745.20, 401,404.68 and 132,714.24 is: 198,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,745.20 : 401,404.68 = 132,714.24 : x
  2. Step 2: Convert to fraction form
    267,745.20/401,404.68 = 132,714.24/x
  3. Step 3: Cross multiply
    267,745.20x = 401,404.68 × 132,714.24
  4. Step 4: Simplify right side
    267,745.20x = 53,272,117,038.64
  5. Step 5: Solve for x
    x = 53,272,117,038.64/267,745.20
  6. Step 6: Final answer
    x = 198,965.72

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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.