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Finding the Fourth Proportional to 204,315.20, 305,889.60 and 204,315.20

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Solution

The fourth proportional to 204,315.20, 305,889.60 and 204,315.20 is: 305,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,315.20 : 305,889.60 = 204,315.20 : x
  2. Step 2: Convert to fraction form
    204,315.20/305,889.60 = 204,315.20/x
  3. Step 3: Cross multiply
    204,315.20x = 305,889.60 × 204,315.20
  4. Step 4: Simplify right side
    204,315.20x = 62,497,894,801.92
  5. Step 5: Solve for x
    x = 62,497,894,801.92/204,315.20
  6. Step 6: Final answer
    x = 305,889.60

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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.