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Finding the Fourth Proportional to 267,853.59, 401,781.78 and 90,362.16

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Solution

The fourth proportional to 267,853.59, 401,781.78 and 90,362.16 is: 135,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,853.59 : 401,781.78 = 90,362.16 : x
  2. Step 2: Convert to fraction form
    267,853.59/401,781.78 = 90,362.16/x
  3. Step 3: Cross multiply
    267,853.59x = 401,781.78 × 90,362.16
  4. Step 4: Simplify right side
    267,853.59x = 36,305,869,489.44
  5. Step 5: Solve for x
    x = 36,305,869,489.44/267,853.59
  6. Step 6: Final answer
    x = 135,543.71

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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.