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Finding the Fourth Proportional to 267,834.57, 401,864.49 and 166,717.16

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Solution

The fourth proportional to 267,834.57, 401,864.49 and 166,717.16 is: 250,145.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,834.57 : 401,864.49 = 166,717.16 : x
  2. Step 2: Convert to fraction form
    267,834.57/401,864.49 = 166,717.16/x
  3. Step 3: Cross multiply
    267,834.57x = 401,864.49 × 166,717.16
  4. Step 4: Simplify right side
    267,834.57x = 66,997,704,468.33
  5. Step 5: Solve for x
    x = 66,997,704,468.33/267,834.57
  6. Step 6: Final answer
    x = 250,145.84

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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.