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Finding the Fourth Proportional to 203,847.36, 305,891.22 and 77,593.80

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Solution

The fourth proportional to 203,847.36, 305,891.22 and 77,593.80 is: 116,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,847.36 : 305,891.22 = 77,593.80 : x
  2. Step 2: Convert to fraction form
    203,847.36/305,891.22 = 77,593.80/x
  3. Step 3: Cross multiply
    203,847.36x = 305,891.22 × 77,593.80
  4. Step 4: Simplify right side
    203,847.36x = 23,735,262,146.44
  5. Step 5: Solve for x
    x = 23,735,262,146.44/203,847.36
  6. Step 6: Final answer
    x = 116,436.45

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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.