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Finding the Fourth Proportional to 149,392.32, 206,161.44 and 82,324.32

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Solution

The fourth proportional to 149,392.32, 206,161.44 and 82,324.32 is: 113,607.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,392.32 : 206,161.44 = 82,324.32 : x
  2. Step 2: Convert to fraction form
    149,392.32/206,161.44 = 82,324.32/x
  3. Step 3: Cross multiply
    149,392.32x = 206,161.44 × 82,324.32
  4. Step 4: Simplify right side
    149,392.32x = 16,972,100,358.22
  5. Step 5: Solve for x
    x = 16,972,100,358.22/149,392.32
  6. Step 6: Final answer
    x = 113,607.58

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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.