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Finding the Fourth Proportional to 206,183.77, 284,551.05 and 115,538.70

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Solution

The fourth proportional to 206,183.77, 284,551.05 and 115,538.70 is: 159,453.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,183.77 : 284,551.05 = 115,538.70 : x
  2. Step 2: Convert to fraction form
    206,183.77/284,551.05 = 115,538.70/x
  3. Step 3: Cross multiply
    206,183.77x = 284,551.05 × 115,538.70
  4. Step 4: Simplify right side
    206,183.77x = 32,876,656,977.88
  5. Step 5: Solve for x
    x = 32,876,656,977.88/206,183.77
  6. Step 6: Final answer
    x = 159,453.18

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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.