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Finding the Fourth Proportional to 149,336.85, 206,084.85 and 82,268.85

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Solution

The fourth proportional to 149,336.85, 206,084.85 and 82,268.85 is: 113,531.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,336.85 : 206,084.85 = 82,268.85 : x
  2. Step 2: Convert to fraction form
    149,336.85/206,084.85 = 82,268.85/x
  3. Step 3: Cross multiply
    149,336.85x = 206,084.85 × 82,268.85
  4. Step 4: Simplify right side
    149,336.85x = 16,954,363,611.92
  5. Step 5: Solve for x
    x = 16,954,363,611.92/149,336.85
  6. Step 6: Final answer
    x = 113,531.01

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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.