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Finding the Fourth Proportional to 222,048.20, 332,957.10 and 81,734.60

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Solution

The fourth proportional to 222,048.20, 332,957.10 and 81,734.60 is: 122,559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,048.20 : 332,957.10 = 81,734.60 : x
  2. Step 2: Convert to fraction form
    222,048.20/332,957.10 = 81,734.60/x
  3. Step 3: Cross multiply
    222,048.20x = 332,957.10 × 81,734.60
  4. Step 4: Simplify right side
    222,048.20x = 27,214,115,385.66
  5. Step 5: Solve for x
    x = 27,214,115,385.66/222,048.20
  6. Step 6: Final answer
    x = 122,559.50

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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.