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Finding the Fourth Proportional to 206,748.34, 285,319.60 and 116,120.27

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Solution

The fourth proportional to 206,748.34, 285,319.60 and 116,120.27 is: 160,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,748.34 : 285,319.60 = 116,120.27 : x
  2. Step 2: Convert to fraction form
    206,748.34/285,319.60 = 116,120.27/x
  3. Step 3: Cross multiply
    206,748.34x = 285,319.60 × 116,120.27
  4. Step 4: Simplify right side
    206,748.34x = 33,131,389,411.29
  5. Step 5: Solve for x
    x = 33,131,389,411.29/206,748.34
  6. Step 6: Final answer
    x = 160,249.85

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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.