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Finding the Fourth Proportional to 206,803.47, 285,382.56 and 114,922.45

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Solution

The fourth proportional to 206,803.47, 285,382.56 and 114,922.45 is: 158,589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,803.47 : 285,382.56 = 114,922.45 : x
  2. Step 2: Convert to fraction form
    206,803.47/285,382.56 = 114,922.45/x
  3. Step 3: Cross multiply
    206,803.47x = 285,382.56 × 114,922.45
  4. Step 4: Simplify right side
    206,803.47x = 32,796,861,555.56
  5. Step 5: Solve for x
    x = 32,796,861,555.56/206,803.47
  6. Step 6: Final answer
    x = 158,589.51

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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.