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Finding the Fourth Proportional to 149,624.28, 206,481.48 and 82,556.28

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Solution

The fourth proportional to 149,624.28, 206,481.48 and 82,556.28 is: 113,927.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,624.28 : 206,481.48 = 82,556.28 : x
  2. Step 2: Convert to fraction form
    149,624.28/206,481.48 = 82,556.28/x
  3. Step 3: Cross multiply
    149,624.28x = 206,481.48 × 82,556.28
  4. Step 4: Simplify right side
    149,624.28x = 17,046,342,877.69
  5. Step 5: Solve for x
    x = 17,046,342,877.69/149,624.28
  6. Step 6: Final answer
    x = 113,927.65

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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.