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Finding the Fourth Proportional to 206,803.82, 285,383.04 and 114,922.79

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Solution

The fourth proportional to 206,803.82, 285,383.04 and 114,922.79 is: 158,589.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,803.82 : 285,383.04 = 114,922.79 : x
  2. Step 2: Convert to fraction form
    206,803.82/285,383.04 = 114,922.79/x
  3. Step 3: Cross multiply
    206,803.82x = 285,383.04 × 114,922.79
  4. Step 4: Simplify right side
    206,803.82x = 32,797,013,748.57
  5. Step 5: Solve for x
    x = 32,797,013,748.57/206,803.82
  6. Step 6: Final answer
    x = 158,589.98

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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.