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Finding the Fourth Proportional to 267,197.27, 400,822.25 and 77,659.29

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Solution

The fourth proportional to 267,197.27, 400,822.25 and 77,659.29 is: 116,496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,197.27 : 400,822.25 = 77,659.29 : x
  2. Step 2: Convert to fraction form
    267,197.27/400,822.25 = 77,659.29/x
  3. Step 3: Cross multiply
    267,197.27x = 400,822.25 × 77,659.29
  4. Step 4: Simplify right side
    267,197.27x = 31,127,570,962.91
  5. Step 5: Solve for x
    x = 31,127,570,962.91/267,197.27
  6. Step 6: Final answer
    x = 116,496.59

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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.