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Finding the Fourth Proportional to 149,354.32, 206,108.85 and 82,286.32

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Solution

The fourth proportional to 149,354.32, 206,108.85 and 82,286.32 is: 113,555.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,354.32 : 206,108.85 = 82,286.32 : x
  2. Step 2: Convert to fraction form
    149,354.32/206,108.85 = 82,286.32/x
  3. Step 3: Cross multiply
    149,354.32x = 206,108.85 × 82,286.32
  4. Step 4: Simplify right side
    149,354.32x = 16,959,938,785.93
  5. Step 5: Solve for x
    x = 16,959,938,785.93/149,354.32
  6. Step 6: Final answer
    x = 113,555.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.