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Finding the Fourth Proportional to 267,740.83, 401,398.12 and 132,709.87

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Solution

The fourth proportional to 267,740.83, 401,398.12 and 132,709.87 is: 198,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,740.83 : 401,398.12 = 132,709.87 : x
  2. Step 2: Convert to fraction form
    267,740.83/401,398.12 = 132,709.87/x
  3. Step 3: Cross multiply
    267,740.83x = 401,398.12 × 132,709.87
  4. Step 4: Simplify right side
    267,740.83x = 53,269,489,652.90
  5. Step 5: Solve for x
    x = 53,269,489,652.90/267,740.83
  6. Step 6: Final answer
    x = 198,959.16

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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.