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Finding the Fourth Proportional to 273,531.80, 410,103.30 and 123,843.80

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Solution

The fourth proportional to 273,531.80, 410,103.30 and 123,843.80 is: 185,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,531.80 : 410,103.30 = 123,843.80 : x
  2. Step 2: Convert to fraction form
    273,531.80/410,103.30 = 123,843.80/x
  3. Step 3: Cross multiply
    273,531.80x = 410,103.30 × 123,843.80
  4. Step 4: Simplify right side
    273,531.80x = 50,788,751,064.54
  5. Step 5: Solve for x
    x = 50,788,751,064.54/273,531.80
  6. Step 6: Final answer
    x = 185,677.68

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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.