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Finding the Fourth Proportional to 234,200.70, 322,992.63 and 188,865.54

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Solution

The fourth proportional to 234,200.70, 322,992.63 and 188,865.54 is: 260,469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,200.70 : 322,992.63 = 188,865.54 : x
  2. Step 2: Convert to fraction form
    234,200.70/322,992.63 = 188,865.54/x
  3. Step 3: Cross multiply
    234,200.70x = 322,992.63 × 188,865.54
  4. Step 4: Simplify right side
    234,200.70x = 61,002,177,480.97
  5. Step 5: Solve for x
    x = 61,002,177,480.97/234,200.70
  6. Step 6: Final answer
    x = 260,469.66

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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.