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Finding the Fourth Proportional to 180,234.45, 270,323.31 and 113,470.20

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Solution

The fourth proportional to 180,234.45, 270,323.31 and 113,470.20 is: 170,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,234.45 : 270,323.31 = 113,470.20 : x
  2. Step 2: Convert to fraction form
    180,234.45/270,323.31 = 113,470.20/x
  3. Step 3: Cross multiply
    180,234.45x = 270,323.31 × 113,470.20
  4. Step 4: Simplify right side
    180,234.45x = 30,673,640,050.36
  5. Step 5: Solve for x
    x = 30,673,640,050.36/180,234.45
  6. Step 6: Final answer
    x = 170,187.44

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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.