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Finding the Fourth Proportional to 180,563.91, 270,845.19 and 54,203.61

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Solution

The fourth proportional to 180,563.91, 270,845.19 and 54,203.61 is: 81,305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,563.91 : 270,845.19 = 54,203.61 : x
  2. Step 2: Convert to fraction form
    180,563.91/270,845.19 = 54,203.61/x
  3. Step 3: Cross multiply
    180,563.91x = 270,845.19 × 54,203.61
  4. Step 4: Simplify right side
    180,563.91x = 14,680,787,049.14
  5. Step 5: Solve for x
    x = 14,680,787,049.14/180,563.91
  6. Step 6: Final answer
    x = 81,305.21

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Why These Related Problems?

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