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Finding the Fourth Proportional to 146,951.28, 202,795.11 and 83,287.71

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Solution

The fourth proportional to 146,951.28, 202,795.11 and 83,287.71 is: 114,938.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,951.28 : 202,795.11 = 83,287.71 : x
  2. Step 2: Convert to fraction form
    146,951.28/202,795.11 = 83,287.71/x
  3. Step 3: Cross multiply
    146,951.28x = 202,795.11 × 83,287.71
  4. Step 4: Simplify right side
    146,951.28x = 16,890,340,311.10
  5. Step 5: Solve for x
    x = 16,890,340,311.10/146,951.28
  6. Step 6: Final answer
    x = 114,938.37

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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.