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Finding the Fourth Proportional to 149,624.50, 206,481.81 and 82,556.50

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Solution

The fourth proportional to 149,624.50, 206,481.81 and 82,556.50 is: 113,927.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,624.50 : 206,481.81 = 82,556.50 : x
  2. Step 2: Convert to fraction form
    149,624.50/206,481.81 = 82,556.50/x
  3. Step 3: Cross multiply
    149,624.50x = 206,481.81 × 82,556.50
  4. Step 4: Simplify right side
    149,624.50x = 17,046,415,547.27
  5. Step 5: Solve for x
    x = 17,046,415,547.27/149,624.50
  6. Step 6: Final answer
    x = 113,927.97

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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.