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Finding the Fourth Proportional to 207,233.76, 285,982.08 and 116,589.78

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Solution

The fourth proportional to 207,233.76, 285,982.08 and 116,589.78 is: 160,893.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,233.76 : 285,982.08 = 116,589.78 : x
  2. Step 2: Convert to fraction form
    207,233.76/285,982.08 = 116,589.78/x
  3. Step 3: Cross multiply
    207,233.76x = 285,982.08 × 116,589.78
  4. Step 4: Simplify right side
    207,233.76x = 33,342,587,791.14
  5. Step 5: Solve for x
    x = 33,342,587,791.14/207,233.76
  6. Step 6: Final answer
    x = 160,893.61

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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.