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Finding the Fourth Proportional to 206,396.70, 284,908.56 and 138,388.90

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Solution

The fourth proportional to 206,396.70, 284,908.56 and 138,388.90 is: 191,031.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,396.70 : 284,908.56 = 138,388.90 : x
  2. Step 2: Convert to fraction form
    206,396.70/284,908.56 = 138,388.90/x
  3. Step 3: Cross multiply
    206,396.70x = 284,908.56 × 138,388.90
  4. Step 4: Simplify right side
    206,396.70x = 39,428,180,102.50
  5. Step 5: Solve for x
    x = 39,428,180,102.50/206,396.70
  6. Step 6: Final answer
    x = 191,031.06

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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.