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Finding the Fourth Proportional to 267,744.16, 401,069.48 and 149,478.49

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Solution

The fourth proportional to 267,744.16, 401,069.48 and 149,478.49 is: 223,912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,744.16 : 401,069.48 = 149,478.49 : x
  2. Step 2: Convert to fraction form
    267,744.16/401,069.48 = 149,478.49/x
  3. Step 3: Cross multiply
    267,744.16x = 401,069.48 × 149,478.49
  4. Step 4: Simplify right side
    267,744.16x = 59,951,259,626.51
  5. Step 5: Solve for x
    x = 59,951,259,626.51/267,744.16
  6. Step 6: Final answer
    x = 223,912.48

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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.