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Finding the Fourth Proportional to 206,803.44, 285,382.52 and 114,922.41

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Solution

The fourth proportional to 206,803.44, 285,382.52 and 114,922.41 is: 158,589.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,803.44 : 285,382.52 = 114,922.41 : x
  2. Step 2: Convert to fraction form
    206,803.44/285,382.52 = 114,922.41/x
  3. Step 3: Cross multiply
    206,803.44x = 285,382.52 × 114,922.41
  4. Step 4: Simplify right side
    206,803.44x = 32,796,846,970.27
  5. Step 5: Solve for x
    x = 32,796,846,970.27/206,803.44
  6. Step 6: Final answer
    x = 158,589.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.