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Finding the Fourth Proportional to 267,824.75, 401,760.48 and 87,856.22

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Solution

The fourth proportional to 267,824.75, 401,760.48 and 87,856.22 is: 131,791.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,824.75 : 401,760.48 = 87,856.22 : x
  2. Step 2: Convert to fraction form
    267,824.75/401,760.48 = 87,856.22/x
  3. Step 3: Cross multiply
    267,824.75x = 401,760.48 × 87,856.22
  4. Step 4: Simplify right side
    267,824.75x = 35,297,157,075.00
  5. Step 5: Solve for x
    x = 35,297,157,075.00/267,824.75
  6. Step 6: Final answer
    x = 131,791.99

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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.