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Finding the Fourth Proportional to 217,025.60, 325,077.60 and 180,161.60

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Solution

The fourth proportional to 217,025.60, 325,077.60 and 180,161.60 is: 269,859.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,025.60 : 325,077.60 = 180,161.60 : x
  2. Step 2: Convert to fraction form
    217,025.60/325,077.60 = 180,161.60/x
  3. Step 3: Cross multiply
    217,025.60x = 325,077.60 × 180,161.60
  4. Step 4: Simplify right side
    217,025.60x = 58,566,500,540.16
  5. Step 5: Solve for x
    x = 58,566,500,540.16/217,025.60
  6. Step 6: Final answer
    x = 269,859.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.