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Finding the Fourth Proportional to 227,769.20, 314,297.60 and 132,257.20

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Solution

The fourth proportional to 227,769.20, 314,297.60 and 132,257.20 is: 182,501.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,769.20 : 314,297.60 = 132,257.20 : x
  2. Step 2: Convert to fraction form
    227,769.20/314,297.60 = 132,257.20/x
  3. Step 3: Cross multiply
    227,769.20x = 314,297.60 × 132,257.20
  4. Step 4: Simplify right side
    227,769.20x = 41,568,120,542.72
  5. Step 5: Solve for x
    x = 41,568,120,542.72/227,769.20
  6. Step 6: Final answer
    x = 182,501.06

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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.