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Finding the Fourth Proportional to 110,284.85, 165,481.98 and 43,723.50

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Solution

The fourth proportional to 110,284.85, 165,481.98 and 43,723.50 is: 65,606.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,284.85 : 165,481.98 = 43,723.50 : x
  2. Step 2: Convert to fraction form
    110,284.85/165,481.98 = 43,723.50/x
  3. Step 3: Cross multiply
    110,284.85x = 165,481.98 × 43,723.50
  4. Step 4: Simplify right side
    110,284.85x = 7,235,451,133.91
  5. Step 5: Solve for x
    x = 7,235,451,133.91/110,284.85
  6. Step 6: Final answer
    x = 65,606.94

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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.