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Finding the Fourth Proportional to 267,764.32, 401,712.84 and 80,775.52

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Solution

The fourth proportional to 267,764.32, 401,712.84 and 80,775.52 is: 121,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,764.32 : 401,712.84 = 80,775.52 : x
  2. Step 2: Convert to fraction form
    267,764.32/401,712.84 = 80,775.52/x
  3. Step 3: Cross multiply
    267,764.32x = 401,712.84 × 80,775.52
  4. Step 4: Simplify right side
    267,764.32x = 32,448,563,541.68
  5. Step 5: Solve for x
    x = 32,448,563,541.68/267,764.32
  6. Step 6: Final answer
    x = 121,183.30

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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.