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Finding the Fourth Proportional to 149,300.88, 206,035.21 and 82,232.88

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Solution

The fourth proportional to 149,300.88, 206,035.21 and 82,232.88 is: 113,481.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,300.88 : 206,035.21 = 82,232.88 : x
  2. Step 2: Convert to fraction form
    149,300.88/206,035.21 = 82,232.88/x
  3. Step 3: Cross multiply
    149,300.88x = 206,035.21 × 82,232.88
  4. Step 4: Simplify right side
    149,300.88x = 16,942,868,699.70
  5. Step 5: Solve for x
    x = 16,942,868,699.70/149,300.88
  6. Step 6: Final answer
    x = 113,481.37

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1.5x scale

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.