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Finding the Fourth Proportional to 303,198.56, 454,796.02 and 78,558.43

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Solution

The fourth proportional to 303,198.56, 454,796.02 and 78,558.43 is: 117,837.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,198.56 : 454,796.02 = 78,558.43 : x
  2. Step 2: Convert to fraction form
    303,198.56/454,796.02 = 78,558.43/x
  3. Step 3: Cross multiply
    303,198.56x = 454,796.02 × 78,558.43
  4. Step 4: Simplify right side
    303,198.56x = 35,728,060,262.66
  5. Step 5: Solve for x
    x = 35,728,060,262.66/303,198.56
  6. Step 6: Final answer
    x = 117,837.17

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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.