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Finding the Fourth Proportional to 267,507.28, 401,144.27 and 101,178.64

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Solution

The fourth proportional to 267,507.28, 401,144.27 and 101,178.64 is: 151,723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,507.28 : 401,144.27 = 101,178.64 : x
  2. Step 2: Convert to fraction form
    267,507.28/401,144.27 = 101,178.64/x
  3. Step 3: Cross multiply
    267,507.28x = 401,144.27 × 101,178.64
  4. Step 4: Simplify right side
    267,507.28x = 40,587,229,421.49
  5. Step 5: Solve for x
    x = 40,587,229,421.49/267,507.28
  6. Step 6: Final answer
    x = 151,723.83

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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.