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Finding the Fourth Proportional to 202,947.29, 280,096.97 and 116,889.73

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Solution

The fourth proportional to 202,947.29, 280,096.97 and 116,889.73 is: 161,324.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,947.29 : 280,096.97 = 116,889.73 : x
  2. Step 2: Convert to fraction form
    202,947.29/280,096.97 = 116,889.73/x
  3. Step 3: Cross multiply
    202,947.29x = 280,096.97 × 116,889.73
  4. Step 4: Simplify right side
    202,947.29x = 32,740,457,912.43
  5. Step 5: Solve for x
    x = 32,740,457,912.43/202,947.29
  6. Step 6: Final answer
    x = 161,324.94

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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.