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Finding the Fourth Proportional to 188,081.38, 259,556.84 and 103,198.38

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Solution

The fourth proportional to 188,081.38, 259,556.84 and 103,198.38 is: 142,416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,081.38 : 259,556.84 = 103,198.38 : x
  2. Step 2: Convert to fraction form
    188,081.38/259,556.84 = 103,198.38/x
  3. Step 3: Cross multiply
    188,081.38x = 259,556.84 × 103,198.38
  4. Step 4: Simplify right side
    188,081.38x = 26,785,845,405.92
  5. Step 5: Solve for x
    x = 26,785,845,405.92/188,081.38
  6. Step 6: Final answer
    x = 142,416.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.