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Finding the Fourth Proportional to 269,118, 371,382.84 and 149,886

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Solution

The fourth proportional to 269,118, 371,382.84 and 149,886 is: 206,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,118 : 371,382.84 = 149,886 : x
  2. Step 2: Convert to fraction form
    269,118/371,382.84 = 149,886/x
  3. Step 3: Cross multiply
    269,118x = 371,382.84 × 149,886
  4. Step 4: Simplify right side
    269,118x = 55,665,088,356.24
  5. Step 5: Solve for x
    x = 55,665,088,356.24/269,118
  6. Step 6: Final answer
    x = 206,842.68

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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.