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Finding the Fourth Proportional to 125,194.44, 187,791.96 and 36,450

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Solution

The fourth proportional to 125,194.44, 187,791.96 and 36,450 is: 54,675.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,194.44 : 187,791.96 = 36,450 : x
  2. Step 2: Convert to fraction form
    125,194.44/187,791.96 = 36,450/x
  3. Step 3: Cross multiply
    125,194.44x = 187,791.96 × 36,450
  4. Step 4: Simplify right side
    125,194.44x = 6,845,016,942
  5. Step 5: Solve for x
    x = 6,845,016,942/125,194.44
  6. Step 6: Final answer
    x = 54,675.09

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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.