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Finding the Fourth Proportional to 180,399.75, 270,523.45 and 54,057.97

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Solution

The fourth proportional to 180,399.75, 270,523.45 and 54,057.97 is: 81,064.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,399.75 : 270,523.45 = 54,057.97 : x
  2. Step 2: Convert to fraction form
    180,399.75/270,523.45 = 54,057.97/x
  3. Step 3: Cross multiply
    180,399.75x = 270,523.45 × 54,057.97
  4. Step 4: Simplify right side
    180,399.75x = 14,623,948,544.40
  5. Step 5: Solve for x
    x = 14,623,948,544.40/180,399.75
  6. Step 6: Final answer
    x = 81,064.13

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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.