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Finding the Fourth Proportional to 206,743.84, 285,306.50 and 116,099.88

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Solution

The fourth proportional to 206,743.84, 285,306.50 and 116,099.88 is: 160,217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,743.84 : 285,306.50 = 116,099.88 : x
  2. Step 2: Convert to fraction form
    206,743.84/285,306.50 = 116,099.88/x
  3. Step 3: Cross multiply
    206,743.84x = 285,306.50 × 116,099.88
  4. Step 4: Simplify right side
    206,743.84x = 33,124,051,238.42
  5. Step 5: Solve for x
    x = 33,124,051,238.42/206,743.84
  6. Step 6: Final answer
    x = 160,217.84

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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.