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Finding the Fourth Proportional to 206,679.48, 285,222.92 and 116,042.51

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Solution

The fourth proportional to 206,679.48, 285,222.92 and 116,042.51 is: 160,141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,679.48 : 285,222.92 = 116,042.51 : x
  2. Step 2: Convert to fraction form
    206,679.48/285,222.92 = 116,042.51/x
  3. Step 3: Cross multiply
    206,679.48x = 285,222.92 × 116,042.51
  4. Step 4: Simplify right side
    206,679.48x = 33,097,981,540.00
  5. Step 5: Solve for x
    x = 33,097,981,540.00/206,679.48
  6. Step 6: Final answer
    x = 160,141.59

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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.