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Finding the Fourth Proportional to 274,093.20, 410,880.60 and 161,859.60

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Solution

The fourth proportional to 274,093.20, 410,880.60 and 161,859.60 is: 242,636.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,093.20 : 410,880.60 = 161,859.60 : x
  2. Step 2: Convert to fraction form
    274,093.20/410,880.60 = 161,859.60/x
  3. Step 3: Cross multiply
    274,093.20x = 410,880.60 × 161,859.60
  4. Step 4: Simplify right side
    274,093.20x = 66,504,969,563.76
  5. Step 5: Solve for x
    x = 66,504,969,563.76/274,093.20
  6. Step 6: Final answer
    x = 242,636.34

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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.