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Finding the Fourth Proportional to 256,923.40, 354,625.62 and 149,514.28

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Solution

The fourth proportional to 256,923.40, 354,625.62 and 149,514.28 is: 206,371.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,923.40 : 354,625.62 = 149,514.28 : x
  2. Step 2: Convert to fraction form
    256,923.40/354,625.62 = 149,514.28/x
  3. Step 3: Cross multiply
    256,923.40x = 354,625.62 × 149,514.28
  4. Step 4: Simplify right side
    256,923.40x = 53,021,594,243.85
  5. Step 5: Solve for x
    x = 53,021,594,243.85/256,923.40
  6. Step 6: Final answer
    x = 206,371.22

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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.