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Finding the Fourth Proportional to 263,229.68, 394,914.56 and 83,318.56

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Solution

The fourth proportional to 263,229.68, 394,914.56 and 83,318.56 is: 125,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,229.68 : 394,914.56 = 83,318.56 : x
  2. Step 2: Convert to fraction form
    263,229.68/394,914.56 = 83,318.56/x
  3. Step 3: Cross multiply
    263,229.68x = 394,914.56 × 83,318.56
  4. Step 4: Simplify right side
    263,229.68x = 32,903,711,058.35
  5. Step 5: Solve for x
    x = 32,903,711,058.35/263,229.68
  6. Step 6: Final answer
    x = 125,000.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.