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Finding the Fourth Proportional to 256,685.22, 354,083.41 and 149,243.38

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Solution

The fourth proportional to 256,685.22, 354,083.41 and 149,243.38 is: 205,873.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,685.22 : 354,083.41 = 149,243.38 : x
  2. Step 2: Convert to fraction form
    256,685.22/354,083.41 = 149,243.38/x
  3. Step 3: Cross multiply
    256,685.22x = 354,083.41 × 149,243.38
  4. Step 4: Simplify right side
    256,685.22x = 52,844,605,539.48
  5. Step 5: Solve for x
    x = 52,844,605,539.48/256,685.22
  6. Step 6: Final answer
    x = 205,873.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.