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Finding the Fourth Proportional to 222,051.20, 332,961.60 and 81,737.60

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Solution

The fourth proportional to 222,051.20, 332,961.60 and 81,737.60 is: 122,563.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,051.20 : 332,961.60 = 81,737.60 : x
  2. Step 2: Convert to fraction form
    222,051.20/332,961.60 = 81,737.60/x
  3. Step 3: Cross multiply
    222,051.20x = 332,961.60 × 81,737.60
  4. Step 4: Simplify right side
    222,051.20x = 27,215,482,076.16
  5. Step 5: Solve for x
    x = 27,215,482,076.16/222,051.20
  6. Step 6: Final answer
    x = 122,563.99

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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.