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Finding the Fourth Proportional to 206,838.92, 309,971.34 and 94,243.97

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Solution

The fourth proportional to 206,838.92, 309,971.34 and 94,243.97 is: 141,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,838.92 : 309,971.34 = 94,243.97 : x
  2. Step 2: Convert to fraction form
    206,838.92/309,971.34 = 94,243.97/x
  3. Step 3: Cross multiply
    206,838.92x = 309,971.34 × 94,243.97
  4. Step 4: Simplify right side
    206,838.92x = 29,212,930,442.75
  5. Step 5: Solve for x
    x = 29,212,930,442.75/206,838.92
  6. Step 6: Final answer
    x = 141,235.17

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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.