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Finding the Fourth Proportional to 206,749.34, 285,320.98 and 116,121.27

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Solution

The fourth proportional to 206,749.34, 285,320.98 and 116,121.27 is: 160,251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,749.34 : 285,320.98 = 116,121.27 : x
  2. Step 2: Convert to fraction form
    206,749.34/285,320.98 = 116,121.27/x
  3. Step 3: Cross multiply
    206,749.34x = 285,320.98 × 116,121.27
  4. Step 4: Simplify right side
    206,749.34x = 33,131,834,555.24
  5. Step 5: Solve for x
    x = 33,131,834,555.24/206,749.34
  6. Step 6: Final answer
    x = 160,251.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.