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Finding the Fourth Proportional to 256,099.20, 353,436.48 and 141,399.96

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Solution

The fourth proportional to 256,099.20, 353,436.48 and 141,399.96 is: 195,142.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,099.20 : 353,436.48 = 141,399.96 : x
  2. Step 2: Convert to fraction form
    256,099.20/353,436.48 = 141,399.96/x
  3. Step 3: Cross multiply
    256,099.20x = 353,436.48 × 141,399.96
  4. Step 4: Simplify right side
    256,099.20x = 49,975,904,134.54
  5. Step 5: Solve for x
    x = 49,975,904,134.54/256,099.20
  6. Step 6: Final answer
    x = 195,142.76

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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.