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Finding the Fourth Proportional to 110,529.60, 165,624.30 and 82,317.30

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Solution

The fourth proportional to 110,529.60, 165,624.30 and 82,317.30 is: 123,349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,529.60 : 165,624.30 = 82,317.30 : x
  2. Step 2: Convert to fraction form
    110,529.60/165,624.30 = 82,317.30/x
  3. Step 3: Cross multiply
    110,529.60x = 165,624.30 × 82,317.30
  4. Step 4: Simplify right side
    110,529.60x = 13,633,745,190.39
  5. Step 5: Solve for x
    x = 13,633,745,190.39/110,529.60
  6. Step 6: Final answer
    x = 123,349.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.