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Finding the Fourth Proportional to 188,183.49, 259,687.42 and 102,138.40

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Solution

The fourth proportional to 188,183.49, 259,687.42 and 102,138.40 is: 140,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,183.49 : 259,687.42 = 102,138.40 : x
  2. Step 2: Convert to fraction form
    188,183.49/259,687.42 = 102,138.40/x
  3. Step 3: Cross multiply
    188,183.49x = 259,687.42 × 102,138.40
  4. Step 4: Simplify right side
    188,183.49x = 26,524,057,578.93
  5. Step 5: Solve for x
    x = 26,524,057,578.93/188,183.49
  6. Step 6: Final answer
    x = 140,947.85

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