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Finding the Fourth Proportional to 180,645.73, 270,982.61 and 54,276.10

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Solution

The fourth proportional to 180,645.73, 270,982.61 and 54,276.10 is: 81,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,645.73 : 270,982.61 = 54,276.10 : x
  2. Step 2: Convert to fraction form
    180,645.73/270,982.61 = 54,276.10/x
  3. Step 3: Cross multiply
    180,645.73x = 270,982.61 × 54,276.10
  4. Step 4: Simplify right side
    180,645.73x = 14,707,879,238.62
  5. Step 5: Solve for x
    x = 14,707,879,238.62/180,645.73
  6. Step 6: Final answer
    x = 81,418.36

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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.