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Finding the Fourth Proportional to 204,924.56, 282,797.54 and 114,286.37

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Solution

The fourth proportional to 204,924.56, 282,797.54 and 114,286.37 is: 157,716.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,924.56 : 282,797.54 = 114,286.37 : x
  2. Step 2: Convert to fraction form
    204,924.56/282,797.54 = 114,286.37/x
  3. Step 3: Cross multiply
    204,924.56x = 282,797.54 × 114,286.37
  4. Step 4: Simplify right side
    204,924.56x = 32,319,902,306.11
  5. Step 5: Solve for x
    x = 32,319,902,306.11/204,924.56
  6. Step 6: Final answer
    x = 157,716.10

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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.