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Finding the Fourth Proportional to 206,838.33, 309,970.44 and 94,243.38

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Solution

The fourth proportional to 206,838.33, 309,970.44 and 94,243.38 is: 141,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,838.33 : 309,970.44 = 94,243.38 : x
  2. Step 2: Convert to fraction form
    206,838.33/309,970.44 = 94,243.38/x
  3. Step 3: Cross multiply
    206,838.33x = 309,970.44 × 94,243.38
  4. Step 4: Simplify right side
    206,838.33x = 29,212,661,965.69
  5. Step 5: Solve for x
    x = 29,212,661,965.69/206,838.33
  6. Step 6: Final answer
    x = 141,234.28

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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.