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Finding the Fourth Proportional to 203,902.11, 305,853.37 and 77,512.68

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Solution

The fourth proportional to 203,902.11, 305,853.37 and 77,512.68 is: 116,269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,902.11 : 305,853.37 = 77,512.68 : x
  2. Step 2: Convert to fraction form
    203,902.11/305,853.37 = 77,512.68/x
  3. Step 3: Cross multiply
    203,902.11x = 305,853.37 × 77,512.68
  4. Step 4: Simplify right side
    203,902.11x = 23,707,514,201.95
  5. Step 5: Solve for x
    x = 23,707,514,201.95/203,902.11
  6. Step 6: Final answer
    x = 116,269.10

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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.