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Finding the Fourth Proportional to 204,902.68, 282,793.44 and 120,053.56

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Solution

The fourth proportional to 204,902.68, 282,793.44 and 120,053.56 is: 165,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,902.68 : 282,793.44 = 120,053.56 : x
  2. Step 2: Convert to fraction form
    204,902.68/282,793.44 = 120,053.56/x
  3. Step 3: Cross multiply
    204,902.68x = 282,793.44 × 120,053.56
  4. Step 4: Simplify right side
    204,902.68x = 33,950,359,216.65
  5. Step 5: Solve for x
    x = 33,950,359,216.65/204,902.68
  6. Step 6: Final answer
    x = 165,690.17

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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.