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Finding the Fourth Proportional to 148,202.97, 222,305.01 and 35,883

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Solution

The fourth proportional to 148,202.97, 222,305.01 and 35,883 is: 53,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,202.97 : 222,305.01 = 35,883 : x
  2. Step 2: Convert to fraction form
    148,202.97/222,305.01 = 35,883/x
  3. Step 3: Cross multiply
    148,202.97x = 222,305.01 × 35,883
  4. Step 4: Simplify right side
    148,202.97x = 7,976,970,539.27
  5. Step 5: Solve for x
    x = 7,976,970,539.27/148,202.97
  6. Step 6: Final answer
    x = 53,824.63

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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.