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Finding the Fourth Proportional to 149,767.44, 206,677.80 and 82,698

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Solution

The fourth proportional to 149,767.44, 206,677.80 and 82,698 is: 114,122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,767.44 : 206,677.80 = 82,698 : x
  2. Step 2: Convert to fraction form
    149,767.44/206,677.80 = 82,698/x
  3. Step 3: Cross multiply
    149,767.44x = 206,677.80 × 82,698
  4. Step 4: Simplify right side
    149,767.44x = 17,091,840,704.40
  5. Step 5: Solve for x
    x = 17,091,840,704.40/149,767.44
  6. Step 6: Final answer
    x = 114,122.54

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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.