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Finding the Fourth Proportional to 304,112.36, 419,658.18 and 168,138.38

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Solution

The fourth proportional to 304,112.36, 419,658.18 and 168,138.38 is: 232,021.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,112.36 : 419,658.18 = 168,138.38 : x
  2. Step 2: Convert to fraction form
    304,112.36/419,658.18 = 168,138.38/x
  3. Step 3: Cross multiply
    304,112.36x = 419,658.18 × 168,138.38
  4. Step 4: Simplify right side
    304,112.36x = 70,560,646,538.95
  5. Step 5: Solve for x
    x = 70,560,646,538.95/304,112.36
  6. Step 6: Final answer
    x = 232,021.63

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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.