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Finding the Fourth Proportional to 234,198, 351,306.72 and 67,986

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Solution

The fourth proportional to 234,198, 351,306.72 and 67,986 is: 101,981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,198 : 351,306.72 = 67,986 : x
  2. Step 2: Convert to fraction form
    234,198/351,306.72 = 67,986/x
  3. Step 3: Cross multiply
    234,198x = 351,306.72 × 67,986
  4. Step 4: Simplify right side
    234,198x = 23,883,938,665.92
  5. Step 5: Solve for x
    x = 23,883,938,665.92/234,198
  6. Step 6: Final answer
    x = 101,981.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.