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Finding the Fourth Proportional to 227,704.28, 314,230.70 and 132,234.44

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Solution

The fourth proportional to 227,704.28, 314,230.70 and 132,234.44 is: 182,482.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,704.28 : 314,230.70 = 132,234.44 : x
  2. Step 2: Convert to fraction form
    227,704.28/314,230.70 = 132,234.44/x
  3. Step 3: Cross multiply
    227,704.28x = 314,230.70 × 132,234.44
  4. Step 4: Simplify right side
    227,704.28x = 41,552,120,645.31
  5. Step 5: Solve for x
    x = 41,552,120,645.31/227,704.28
  6. Step 6: Final answer
    x = 182,482.83

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