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Finding the Fourth Proportional to 234,468.18, 351,391.23 and 193,410.90

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Solution

The fourth proportional to 234,468.18, 351,391.23 and 193,410.90 is: 289,859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,468.18 : 351,391.23 = 193,410.90 : x
  2. Step 2: Convert to fraction form
    234,468.18/351,391.23 = 193,410.90/x
  3. Step 3: Cross multiply
    234,468.18x = 351,391.23 × 193,410.90
  4. Step 4: Simplify right side
    234,468.18x = 67,962,894,046.41
  5. Step 5: Solve for x
    x = 67,962,894,046.41/234,468.18
  6. Step 6: Final answer
    x = 289,859.78

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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.