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Finding the Fourth Proportional to 206,788.37, 310,270.72 and 116,843.44

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Solution

The fourth proportional to 206,788.37, 310,270.72 and 116,843.44 is: 175,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,788.37 : 310,270.72 = 116,843.44 : x
  2. Step 2: Convert to fraction form
    206,788.37/310,270.72 = 116,843.44/x
  3. Step 3: Cross multiply
    206,788.37x = 310,270.72 × 116,843.44
  4. Step 4: Simplify right side
    206,788.37x = 36,253,096,120.51
  5. Step 5: Solve for x
    x = 36,253,096,120.51/206,788.37
  6. Step 6: Final answer
    x = 175,314.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.