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Finding the Fourth Proportional to 267,546.96, 401,361.90 and 90,040.14

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Solution

The fourth proportional to 267,546.96, 401,361.90 and 90,040.14 is: 135,074.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,546.96 : 401,361.90 = 90,040.14 : x
  2. Step 2: Convert to fraction form
    267,546.96/401,361.90 = 90,040.14/x
  3. Step 3: Cross multiply
    267,546.96x = 401,361.90 × 90,040.14
  4. Step 4: Simplify right side
    267,546.96x = 36,138,681,666.67
  5. Step 5: Solve for x
    x = 36,138,681,666.67/267,546.96
  6. Step 6: Final answer
    x = 135,074.16

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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.