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Finding the Fourth Proportional to 203,022.80, 304,553.40 and 55,278.80

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Solution

The fourth proportional to 203,022.80, 304,553.40 and 55,278.80 is: 82,923.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,022.80 : 304,553.40 = 55,278.80 : x
  2. Step 2: Convert to fraction form
    203,022.80/304,553.40 = 55,278.80/x
  3. Step 3: Cross multiply
    203,022.80x = 304,553.40 × 55,278.80
  4. Step 4: Simplify right side
    203,022.80x = 16,835,346,487.92
  5. Step 5: Solve for x
    x = 16,835,346,487.92/203,022.80
  6. Step 6: Final answer
    x = 82,923.43

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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.