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Finding the Fourth Proportional to 149,354.07, 206,108.50 and 82,286.07

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Solution

The fourth proportional to 149,354.07, 206,108.50 and 82,286.07 is: 113,554.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,354.07 : 206,108.50 = 82,286.07 : x
  2. Step 2: Convert to fraction form
    149,354.07/206,108.50 = 82,286.07/x
  3. Step 3: Cross multiply
    149,354.07x = 206,108.50 × 82,286.07
  4. Step 4: Simplify right side
    149,354.07x = 16,959,858,458.60
  5. Step 5: Solve for x
    x = 16,959,858,458.60/149,354.07
  6. Step 6: Final answer
    x = 113,554.71

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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.