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Finding the Fourth Proportional to 194,791.77, 292,198.77 and 54,561.33

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Solution

The fourth proportional to 194,791.77, 292,198.77 and 54,561.33 is: 81,845.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,791.77 : 292,198.77 = 54,561.33 : x
  2. Step 2: Convert to fraction form
    194,791.77/292,198.77 = 54,561.33/x
  3. Step 3: Cross multiply
    194,791.77x = 292,198.77 × 54,561.33
  4. Step 4: Simplify right side
    194,791.77x = 15,942,753,515.56
  5. Step 5: Solve for x
    x = 15,942,753,515.56/194,791.77
  6. Step 6: Final answer
    x = 81,845.11

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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.