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Finding the Fourth Proportional to 256,902.44, 354,644.40 and 149,433.32

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Solution

The fourth proportional to 256,902.44, 354,644.40 and 149,433.32 is: 206,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,902.44 : 354,644.40 = 149,433.32 : x
  2. Step 2: Convert to fraction form
    256,902.44/354,644.40 = 149,433.32/x
  3. Step 3: Cross multiply
    256,902.44x = 354,644.40 × 149,433.32
  4. Step 4: Simplify right side
    256,902.44x = 52,995,690,111.41
  5. Step 5: Solve for x
    x = 52,995,690,111.41/256,902.44
  6. Step 6: Final answer
    x = 206,287.22

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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.