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Finding the Fourth Proportional to 203,906.10, 305,859.15 and 194,064.60

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Solution

The fourth proportional to 203,906.10, 305,859.15 and 194,064.60 is: 291,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,906.10 : 305,859.15 = 194,064.60 : x
  2. Step 2: Convert to fraction form
    203,906.10/305,859.15 = 194,064.60/x
  3. Step 3: Cross multiply
    203,906.10x = 305,859.15 × 194,064.60
  4. Step 4: Simplify right side
    203,906.10x = 59,356,433,601.09
  5. Step 5: Solve for x
    x = 59,356,433,601.09/203,906.10
  6. Step 6: Final answer
    x = 291,096.90

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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.