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Finding the Fourth Proportional to 204,701.20, 307,512.60 and 196,867.60

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Solution

The fourth proportional to 204,701.20, 307,512.60 and 196,867.60 is: 295,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,701.20 : 307,512.60 = 196,867.60 : x
  2. Step 2: Convert to fraction form
    204,701.20/307,512.60 = 196,867.60/x
  3. Step 3: Cross multiply
    204,701.20x = 307,512.60 × 196,867.60
  4. Step 4: Simplify right side
    204,701.20x = 60,539,267,531.76
  5. Step 5: Solve for x
    x = 60,539,267,531.76/204,701.20
  6. Step 6: Final answer
    x = 295,744.57

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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.