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Finding the Fourth Proportional to 180,542.58, 270,414.33 and 123,480.98

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Solution

The fourth proportional to 180,542.58, 270,414.33 and 123,480.98 is: 184,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,542.58 : 270,414.33 = 123,480.98 : x
  2. Step 2: Convert to fraction form
    180,542.58/270,414.33 = 123,480.98/x
  3. Step 3: Cross multiply
    180,542.58x = 270,414.33 × 123,480.98
  4. Step 4: Simplify right side
    180,542.58x = 33,391,026,474.44
  5. Step 5: Solve for x
    x = 33,391,026,474.44/180,542.58
  6. Step 6: Final answer
    x = 184,948.21

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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.