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Finding the Fourth Proportional to 206,814.06, 285,383.25 and 116,149.41

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Solution

The fourth proportional to 206,814.06, 285,383.25 and 116,149.41 is: 160,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,814.06 : 285,383.25 = 116,149.41 : x
  2. Step 2: Convert to fraction form
    206,814.06/285,383.25 = 116,149.41/x
  3. Step 3: Cross multiply
    206,814.06x = 285,383.25 × 116,149.41
  4. Step 4: Simplify right side
    206,814.06x = 33,147,096,111.38
  5. Step 5: Solve for x
    x = 33,147,096,111.38/206,814.06
  6. Step 6: Final answer
    x = 160,274.87

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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.