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Finding the Fourth Proportional to 149,633.88, 206,489.34 and 82,564.44

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Solution

The fourth proportional to 149,633.88, 206,489.34 and 82,564.44 is: 113,935.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,633.88 : 206,489.34 = 82,564.44 : x
  2. Step 2: Convert to fraction form
    149,633.88/206,489.34 = 82,564.44/x
  3. Step 3: Cross multiply
    149,633.88x = 206,489.34 × 82,564.44
  4. Step 4: Simplify right side
    149,633.88x = 17,048,676,723.07
  5. Step 5: Solve for x
    x = 17,048,676,723.07/149,633.88
  6. Step 6: Final answer
    x = 113,935.94

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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.