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Finding the Fourth Proportional to 149,679.16, 206,555.34 and 82,606.84

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Solution

The fourth proportional to 149,679.16, 206,555.34 and 82,606.84 is: 113,996.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,679.16 : 206,555.34 = 82,606.84 : x
  2. Step 2: Convert to fraction form
    149,679.16/206,555.34 = 82,606.84/x
  3. Step 3: Cross multiply
    149,679.16x = 206,555.34 × 82,606.84
  4. Step 4: Simplify right side
    149,679.16x = 17,062,883,922.53
  5. Step 5: Solve for x
    x = 17,062,883,922.53/149,679.16
  6. Step 6: Final answer
    x = 113,996.39

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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.