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Finding the Fourth Proportional to 267,769.16, 401,373.52 and 90,214.80

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Solution

The fourth proportional to 267,769.16, 401,373.52 and 90,214.80 is: 135,227.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,769.16 : 401,373.52 = 90,214.80 : x
  2. Step 2: Convert to fraction form
    267,769.16/401,373.52 = 90,214.80/x
  3. Step 3: Cross multiply
    267,769.16x = 401,373.52 × 90,214.80
  4. Step 4: Simplify right side
    267,769.16x = 36,209,831,832.10
  5. Step 5: Solve for x
    x = 36,209,831,832.10/267,769.16
  6. Step 6: Final answer
    x = 135,227.79

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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.