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Finding the Fourth Proportional to 267,844.52, 401,763.90 and 65,442.44

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Solution

The fourth proportional to 267,844.52, 401,763.90 and 65,442.44 is: 98,162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,844.52 : 401,763.90 = 65,442.44 : x
  2. Step 2: Convert to fraction form
    267,844.52/401,763.90 = 65,442.44/x
  3. Step 3: Cross multiply
    267,844.52x = 401,763.90 × 65,442.44
  4. Step 4: Simplify right side
    267,844.52x = 26,292,409,919.92
  5. Step 5: Solve for x
    x = 26,292,409,919.92/267,844.52
  6. Step 6: Final answer
    x = 98,162.96

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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.