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Finding the Fourth Proportional to 206,825.52, 285,403.64 and 116,163.77

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Solution

The fourth proportional to 206,825.52, 285,403.64 and 116,163.77 is: 160,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,825.52 : 285,403.64 = 116,163.77 : x
  2. Step 2: Convert to fraction form
    206,825.52/285,403.64 = 116,163.77/x
  3. Step 3: Cross multiply
    206,825.52x = 285,403.64 × 116,163.77
  4. Step 4: Simplify right side
    206,825.52x = 33,153,560,786.29
  5. Step 5: Solve for x
    x = 33,153,560,786.29/206,825.52
  6. Step 6: Final answer
    x = 160,297.24

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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.