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Finding the Fourth Proportional to 206,942.44, 285,683.91 and 135,431.70

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Solution

The fourth proportional to 206,942.44, 285,683.91 and 135,431.70 is: 186,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,942.44 : 285,683.91 = 135,431.70 : x
  2. Step 2: Convert to fraction form
    206,942.44/285,683.91 = 135,431.70/x
  3. Step 3: Cross multiply
    206,942.44x = 285,683.91 × 135,431.70
  4. Step 4: Simplify right side
    206,942.44x = 38,690,657,593.95
  5. Step 5: Solve for x
    x = 38,690,657,593.95/206,942.44
  6. Step 6: Final answer
    x = 186,963.38

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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.