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Finding the Fourth Proportional to 149,770.38, 206,679.16 and 81,783.84

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Solution

The fourth proportional to 149,770.38, 206,679.16 and 81,783.84 is: 112,859.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,770.38 : 206,679.16 = 81,783.84 : x
  2. Step 2: Convert to fraction form
    149,770.38/206,679.16 = 81,783.84/x
  3. Step 3: Cross multiply
    149,770.38x = 206,679.16 × 81,783.84
  4. Step 4: Simplify right side
    149,770.38x = 16,903,016,230.05
  5. Step 5: Solve for x
    x = 16,903,016,230.05/149,770.38
  6. Step 6: Final answer
    x = 112,859.54

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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.