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Finding the Fourth Proportional to 256,712.94, 354,276.33 and 141,991.11

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Solution

The fourth proportional to 256,712.94, 354,276.33 and 141,991.11 is: 195,954.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,712.94 : 354,276.33 = 141,991.11 : x
  2. Step 2: Convert to fraction form
    256,712.94/354,276.33 = 141,991.11/x
  3. Step 3: Cross multiply
    256,712.94x = 354,276.33 × 141,991.11
  4. Step 4: Simplify right side
    256,712.94x = 50,304,089,343.43
  5. Step 5: Solve for x
    x = 50,304,089,343.43/256,712.94
  6. Step 6: Final answer
    x = 195,954.63

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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.