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Finding the Fourth Proportional to 204,626.40, 306,793.80 and 78,217.80

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Solution

The fourth proportional to 204,626.40, 306,793.80 and 78,217.80 is: 117,270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,626.40 : 306,793.80 = 78,217.80 : x
  2. Step 2: Convert to fraction form
    204,626.40/306,793.80 = 78,217.80/x
  3. Step 3: Cross multiply
    204,626.40x = 306,793.80 × 78,217.80
  4. Step 4: Simplify right side
    204,626.40x = 23,996,736,089.64
  5. Step 5: Solve for x
    x = 23,996,736,089.64/204,626.40
  6. Step 6: Final answer
    x = 117,270.97

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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.