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Finding the Fourth Proportional to 206,676.70, 285,191.79 and 116,042.63

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Solution

The fourth proportional to 206,676.70, 285,191.79 and 116,042.63 is: 160,126.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,676.70 : 285,191.79 = 116,042.63 : x
  2. Step 2: Convert to fraction form
    206,676.70/285,191.79 = 116,042.63/x
  3. Step 3: Cross multiply
    206,676.70x = 285,191.79 × 116,042.63
  4. Step 4: Simplify right side
    206,676.70x = 33,094,403,504.89
  5. Step 5: Solve for x
    x = 33,094,403,504.89/206,676.70
  6. Step 6: Final answer
    x = 160,126.44

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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.