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Finding the Fourth Proportional to 149,892.06, 206,851.08 and 82,824.06

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Solution

The fourth proportional to 149,892.06, 206,851.08 and 82,824.06 is: 114,297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,892.06 : 206,851.08 = 82,824.06 : x
  2. Step 2: Convert to fraction form
    149,892.06/206,851.08 = 82,824.06/x
  3. Step 3: Cross multiply
    149,892.06x = 206,851.08 × 82,824.06
  4. Step 4: Simplify right side
    149,892.06x = 17,132,246,260.98
  5. Step 5: Solve for x
    x = 17,132,246,260.98/149,892.06
  6. Step 6: Final answer
    x = 114,297.22

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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.