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Finding the Fourth Proportional to 304,123.14, 419,687.46 and 168,163.02

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Solution

The fourth proportional to 304,123.14, 419,687.46 and 168,163.02 is: 232,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,123.14 : 419,687.46 = 168,163.02 : x
  2. Step 2: Convert to fraction form
    304,123.14/419,687.46 = 168,163.02/x
  3. Step 3: Cross multiply
    304,123.14x = 419,687.46 × 168,163.02
  4. Step 4: Simplify right side
    304,123.14x = 70,575,910,729.73
  5. Step 5: Solve for x
    x = 70,575,910,729.73/304,123.14
  6. Step 6: Final answer
    x = 232,063.60

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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.