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Finding the Fourth Proportional to 231,163.52, 318,517.44 and 205,738.88

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Solution

The fourth proportional to 231,163.52, 318,517.44 and 205,738.88 is: 283,485.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,163.52 : 318,517.44 = 205,738.88 : x
  2. Step 2: Convert to fraction form
    231,163.52/318,517.44 = 205,738.88/x
  3. Step 3: Cross multiply
    231,163.52x = 318,517.44 × 205,738.88
  4. Step 4: Simplify right side
    231,163.52x = 65,531,421,366.07
  5. Step 5: Solve for x
    x = 65,531,421,366.07/231,163.52
  6. Step 6: Final answer
    x = 283,485.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.