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Finding the Fourth Proportional to 149,161.50, 205,846.11 and 82,093.50

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Solution

The fourth proportional to 149,161.50, 205,846.11 and 82,093.50 is: 113,290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,161.50 : 205,846.11 = 82,093.50 : x
  2. Step 2: Convert to fraction form
    149,161.50/205,846.11 = 82,093.50/x
  3. Step 3: Cross multiply
    149,161.50x = 205,846.11 × 82,093.50
  4. Step 4: Simplify right side
    149,161.50x = 16,898,627,631.29
  5. Step 5: Solve for x
    x = 16,898,627,631.29/149,161.50
  6. Step 6: Final answer
    x = 113,290.81

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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.