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Finding the Fourth Proportional to 204,230.44, 281,835.30 and 114,806.44

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Solution

The fourth proportional to 204,230.44, 281,835.30 and 114,806.44 is: 158,431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,230.44 : 281,835.30 = 114,806.44 : x
  2. Step 2: Convert to fraction form
    204,230.44/281,835.30 = 114,806.44/x
  3. Step 3: Cross multiply
    204,230.44x = 281,835.30 × 114,806.44
  4. Step 4: Simplify right side
    204,230.44x = 32,356,507,459.33
  5. Step 5: Solve for x
    x = 32,356,507,459.33/204,230.44
  6. Step 6: Final answer
    x = 158,431.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.