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Finding the Fourth Proportional to 256,441.44, 353,887.20 and 141,727.80

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Solution

The fourth proportional to 256,441.44, 353,887.20 and 141,727.80 is: 195,583.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,441.44 : 353,887.20 = 141,727.80 : x
  2. Step 2: Convert to fraction form
    256,441.44/353,887.20 = 141,727.80/x
  3. Step 3: Cross multiply
    256,441.44x = 353,887.20 × 141,727.80
  4. Step 4: Simplify right side
    256,441.44x = 50,155,654,304.16
  5. Step 5: Solve for x
    x = 50,155,654,304.16/256,441.44
  6. Step 6: Final answer
    x = 195,583.27

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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.