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Finding the Fourth Proportional to 227,723.70, 314,234.82 and 132,211.74

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Solution

The fourth proportional to 227,723.70, 314,234.82 and 132,211.74 is: 182,438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,723.70 : 314,234.82 = 132,211.74 : x
  2. Step 2: Convert to fraction form
    227,723.70/314,234.82 = 132,211.74/x
  3. Step 3: Cross multiply
    227,723.70x = 314,234.82 × 132,211.74
  4. Step 4: Simplify right side
    227,723.70x = 41,545,532,320.79
  5. Step 5: Solve for x
    x = 41,545,532,320.79/227,723.70
  6. Step 6: Final answer
    x = 182,438.33

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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.