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Finding the Fourth Proportional to 149,300.82, 206,035.14 and 82,232.82

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Solution

The fourth proportional to 149,300.82, 206,035.14 and 82,232.82 is: 113,481.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,300.82 : 206,035.14 = 82,232.82 : x
  2. Step 2: Convert to fraction form
    149,300.82/206,035.14 = 82,232.82/x
  3. Step 3: Cross multiply
    149,300.82x = 206,035.14 × 82,232.82
  4. Step 4: Simplify right side
    149,300.82x = 16,942,850,581.29
  5. Step 5: Solve for x
    x = 16,942,850,581.29/149,300.82
  6. Step 6: Final answer
    x = 113,481.30

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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.