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Finding the Fourth Proportional to 206,450.70, 284,884.83 and 115,794.06

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Solution

The fourth proportional to 206,450.70, 284,884.83 and 115,794.06 is: 159,786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,450.70 : 284,884.83 = 115,794.06 : x
  2. Step 2: Convert to fraction form
    206,450.70/284,884.83 = 115,794.06/x
  3. Step 3: Cross multiply
    206,450.70x = 284,884.83 × 115,794.06
  4. Step 4: Simplify right side
    206,450.70x = 32,987,971,098.11
  5. Step 5: Solve for x
    x = 32,987,971,098.11/206,450.70
  6. Step 6: Final answer
    x = 159,786.19

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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.