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Finding the Fourth Proportional to 206,843.33, 309,977.94 and 94,248.38

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Solution

The fourth proportional to 206,843.33, 309,977.94 and 94,248.38 is: 141,241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,843.33 : 309,977.94 = 94,248.38 : x
  2. Step 2: Convert to fraction form
    206,843.33/309,977.94 = 94,248.38/x
  3. Step 3: Cross multiply
    206,843.33x = 309,977.94 × 94,248.38
  4. Step 4: Simplify right side
    206,843.33x = 29,214,917,130.85
  5. Step 5: Solve for x
    x = 29,214,917,130.85/206,843.33
  6. Step 6: Final answer
    x = 141,241.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.