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Finding the Fourth Proportional to 206,815.67, 285,394.67 and 116,175.46

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Solution

The fourth proportional to 206,815.67, 285,394.67 and 116,175.46 is: 160,315.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,815.67 : 285,394.67 = 116,175.46 : x
  2. Step 2: Convert to fraction form
    206,815.67/285,394.67 = 116,175.46/x
  3. Step 3: Cross multiply
    206,815.67x = 285,394.67 × 116,175.46
  4. Step 4: Simplify right side
    206,815.67x = 33,155,855,774.43
  5. Step 5: Solve for x
    x = 33,155,855,774.43/206,815.67
  6. Step 6: Final answer
    x = 160,315.97

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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.