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Finding the Fourth Proportional to 221,102.80, 331,654.20 and 54,890.80

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Solution

The fourth proportional to 221,102.80, 331,654.20 and 54,890.80 is: 82,336.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,102.80 : 331,654.20 = 54,890.80 : x
  2. Step 2: Convert to fraction form
    221,102.80/331,654.20 = 54,890.80/x
  3. Step 3: Cross multiply
    221,102.80x = 331,654.20 × 54,890.80
  4. Step 4: Simplify right side
    221,102.80x = 18,204,764,361.36
  5. Step 5: Solve for x
    x = 18,204,764,361.36/221,102.80
  6. Step 6: Final answer
    x = 82,336.20

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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.