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Finding the Fourth Proportional to 204,202.88, 281,758.68 and 119,303.54

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Solution

The fourth proportional to 204,202.88, 281,758.68 and 119,303.54 is: 164,614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,202.88 : 281,758.68 = 119,303.54 : x
  2. Step 2: Convert to fraction form
    204,202.88/281,758.68 = 119,303.54/x
  3. Step 3: Cross multiply
    204,202.88x = 281,758.68 × 119,303.54
  4. Step 4: Simplify right side
    204,202.88x = 33,614,807,949.73
  5. Step 5: Solve for x
    x = 33,614,807,949.73/204,202.88
  6. Step 6: Final answer
    x = 164,614.76

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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.