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Finding the Fourth Proportional to 149,336.96, 206,084.93 and 82,268.96

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Solution

The fourth proportional to 149,336.96, 206,084.93 and 82,268.96 is: 113,531.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,336.96 : 206,084.93 = 82,268.96 : x
  2. Step 2: Convert to fraction form
    149,336.96/206,084.93 = 82,268.96/x
  3. Step 3: Cross multiply
    149,336.96x = 206,084.93 × 82,268.96
  4. Step 4: Simplify right side
    149,336.96x = 16,954,391,421.00
  5. Step 5: Solve for x
    x = 16,954,391,421.00/149,336.96
  6. Step 6: Final answer
    x = 113,531.12

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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.