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Finding the Fourth Proportional to 205,350.31, 283,305.49 and 133,791.67

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Solution

The fourth proportional to 205,350.31, 283,305.49 and 133,791.67 is: 184,581.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,350.31 : 283,305.49 = 133,791.67 : x
  2. Step 2: Convert to fraction form
    205,350.31/283,305.49 = 133,791.67/x
  3. Step 3: Cross multiply
    205,350.31x = 283,305.49 × 133,791.67
  4. Step 4: Simplify right side
    205,350.31x = 37,903,914,627.27
  5. Step 5: Solve for x
    x = 37,903,914,627.27/205,350.31
  6. Step 6: Final answer
    x = 184,581.73

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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.