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Finding the Fourth Proportional to 229,099.20, 343,357.20 and 204,021.60

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Solution

The fourth proportional to 229,099.20, 343,357.20 and 204,021.60 is: 305,772.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,099.20 : 343,357.20 = 204,021.60 : x
  2. Step 2: Convert to fraction form
    229,099.20/343,357.20 = 204,021.60/x
  3. Step 3: Cross multiply
    229,099.20x = 343,357.20 × 204,021.60
  4. Step 4: Simplify right side
    229,099.20x = 70,052,285,315.52
  5. Step 5: Solve for x
    x = 70,052,285,315.52/229,099.20
  6. Step 6: Final answer
    x = 305,772.72

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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.