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Finding the Fourth Proportional to 149,300.81, 206,035.13 and 82,232.81

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Solution

The fourth proportional to 149,300.81, 206,035.13 and 82,232.81 is: 113,481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,300.81 : 206,035.13 = 82,232.81 : x
  2. Step 2: Convert to fraction form
    149,300.81/206,035.13 = 82,232.81/x
  3. Step 3: Cross multiply
    149,300.81x = 206,035.13 × 82,232.81
  4. Step 4: Simplify right side
    149,300.81x = 16,942,847,698.62
  5. Step 5: Solve for x
    x = 16,942,847,698.62/149,300.81
  6. Step 6: Final answer
    x = 113,481.28

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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.