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Finding the Fourth Proportional to 206,256.78, 309,388.05 and 58,512.78

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Solution

The fourth proportional to 206,256.78, 309,388.05 and 58,512.78 is: 87,769.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,256.78 : 309,388.05 = 58,512.78 : x
  2. Step 2: Convert to fraction form
    206,256.78/309,388.05 = 58,512.78/x
  3. Step 3: Cross multiply
    206,256.78x = 309,388.05 × 58,512.78
  4. Step 4: Simplify right side
    206,256.78x = 18,103,154,904.28
  5. Step 5: Solve for x
    x = 18,103,154,904.28/206,256.78
  6. Step 6: Final answer
    x = 87,769.99

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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.