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Finding the Fourth Proportional to 204,705.99, 307,016.62 and 54,910.66

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Solution

The fourth proportional to 204,705.99, 307,016.62 and 54,910.66 is: 82,354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,705.99 : 307,016.62 = 54,910.66 : x
  2. Step 2: Convert to fraction form
    204,705.99/307,016.62 = 54,910.66/x
  3. Step 3: Cross multiply
    204,705.99x = 307,016.62 × 54,910.66
  4. Step 4: Simplify right side
    204,705.99x = 16,858,485,235.17
  5. Step 5: Solve for x
    x = 16,858,485,235.17/204,705.99
  6. Step 6: Final answer
    x = 82,354.63

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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.