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Finding the Fourth Proportional to 195,912.73, 270,362.78 and 111,027.97

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Solution

The fourth proportional to 195,912.73, 270,362.78 and 111,027.97 is: 153,220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,912.73 : 270,362.78 = 111,027.97 : x
  2. Step 2: Convert to fraction form
    195,912.73/270,362.78 = 111,027.97/x
  3. Step 3: Cross multiply
    195,912.73x = 270,362.78 × 111,027.97
  4. Step 4: Simplify right side
    195,912.73x = 30,017,830,626.96
  5. Step 5: Solve for x
    x = 30,017,830,626.96/195,912.73
  6. Step 6: Final answer
    x = 153,220.42

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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.