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Finding the Fourth Proportional to 149,835.52, 206,770.41 and 81,850.75

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Solution

The fourth proportional to 149,835.52, 206,770.41 and 81,850.75 is: 112,952.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,835.52 : 206,770.41 = 81,850.75 : x
  2. Step 2: Convert to fraction form
    149,835.52/206,770.41 = 81,850.75/x
  3. Step 3: Cross multiply
    149,835.52x = 206,770.41 × 81,850.75
  4. Step 4: Simplify right side
    149,835.52x = 16,924,312,619.38
  5. Step 5: Solve for x
    x = 16,924,312,619.38/149,835.52
  6. Step 6: Final answer
    x = 112,952.61

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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.