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Finding the Fourth Proportional to 269,268, 371,584.94 and 146,761.44

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Solution

The fourth proportional to 269,268, 371,584.94 and 146,761.44 is: 202,528.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,268 : 371,584.94 = 146,761.44 : x
  2. Step 2: Convert to fraction form
    269,268/371,584.94 = 146,761.44/x
  3. Step 3: Cross multiply
    269,268x = 371,584.94 × 146,761.44
  4. Step 4: Simplify right side
    269,268x = 54,534,340,876.71
  5. Step 5: Solve for x
    x = 54,534,340,876.71/269,268
  6. Step 6: Final answer
    x = 202,528.12

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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.