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Finding the Fourth Proportional to 304,161.62, 419,745.78 and 168,204.78

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Solution

The fourth proportional to 304,161.62, 419,745.78 and 168,204.78 is: 232,124.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,161.62 : 419,745.78 = 168,204.78 : x
  2. Step 2: Convert to fraction form
    304,161.62/419,745.78 = 168,204.78/x
  3. Step 3: Cross multiply
    304,161.62x = 419,745.78 × 168,204.78
  4. Step 4: Simplify right side
    304,161.62x = 70,603,246,580.83
  5. Step 5: Solve for x
    x = 70,603,246,580.83/304,161.62
  6. Step 6: Final answer
    x = 232,124.11

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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.