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Finding the Fourth Proportional to 203,905.20, 305,857.80 and 203,905.20

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Solution

The fourth proportional to 203,905.20, 305,857.80 and 203,905.20 is: 305,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,905.20 : 305,857.80 = 203,905.20 : x
  2. Step 2: Convert to fraction form
    203,905.20/305,857.80 = 203,905.20/x
  3. Step 3: Cross multiply
    203,905.20x = 305,857.80 × 203,905.20
  4. Step 4: Simplify right side
    203,905.20x = 62,365,995,880.56
  5. Step 5: Solve for x
    x = 62,365,995,880.56/203,905.20
  6. Step 6: Final answer
    x = 305,857.80

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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.