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Finding the Fourth Proportional to 149,692.56, 206,575.92 and 82,624.56

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Solution

The fourth proportional to 149,692.56, 206,575.92 and 82,624.56 is: 114,022.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,692.56 : 206,575.92 = 82,624.56 : x
  2. Step 2: Convert to fraction form
    149,692.56/206,575.92 = 82,624.56/x
  3. Step 3: Cross multiply
    149,692.56x = 206,575.92 × 82,624.56
  4. Step 4: Simplify right side
    149,692.56x = 17,068,244,496.60
  5. Step 5: Solve for x
    x = 17,068,244,496.60/149,692.56
  6. Step 6: Final answer
    x = 114,022.00

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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.