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Finding the Fourth Proportional to 227,697.88, 314,245.35 and 132,198.88

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Solution

The fourth proportional to 227,697.88, 314,245.35 and 132,198.88 is: 182,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,697.88 : 314,245.35 = 132,198.88 : x
  2. Step 2: Convert to fraction form
    227,697.88/314,245.35 = 132,198.88/x
  3. Step 3: Cross multiply
    227,697.88x = 314,245.35 × 132,198.88
  4. Step 4: Simplify right side
    227,697.88x = 41,542,883,315.21
  5. Step 5: Solve for x
    x = 41,542,883,315.21/227,697.88
  6. Step 6: Final answer
    x = 182,447.39

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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.