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Finding the Fourth Proportional to 206,183.05, 308,749.55 and 135,849.13

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Solution

The fourth proportional to 206,183.05, 308,749.55 and 135,849.13 is: 203,427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,183.05 : 308,749.55 = 135,849.13 : x
  2. Step 2: Convert to fraction form
    206,183.05/308,749.55 = 135,849.13/x
  3. Step 3: Cross multiply
    206,183.05x = 308,749.55 × 135,849.13
  4. Step 4: Simplify right side
    206,183.05x = 41,943,357,755.39
  5. Step 5: Solve for x
    x = 41,943,357,755.39/206,183.05
  6. Step 6: Final answer
    x = 203,427.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.