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Finding the Fourth Proportional to 206,602.44, 285,099.39 and 115,949.94

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Solution

The fourth proportional to 206,602.44, 285,099.39 and 115,949.94 is: 160,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,602.44 : 285,099.39 = 115,949.94 : x
  2. Step 2: Convert to fraction form
    206,602.44/285,099.39 = 115,949.94/x
  3. Step 3: Cross multiply
    206,602.44x = 285,099.39 × 115,949.94
  4. Step 4: Simplify right side
    206,602.44x = 33,057,257,164.54
  5. Step 5: Solve for x
    x = 33,057,257,164.54/206,602.44
  6. Step 6: Final answer
    x = 160,004.20

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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.