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Finding the Fourth Proportional to 110,118.46, 165,189.81 and 35,221

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Solution

The fourth proportional to 110,118.46, 165,189.81 and 35,221 is: 52,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,118.46 : 165,189.81 = 35,221 : x
  2. Step 2: Convert to fraction form
    110,118.46/165,189.81 = 35,221/x
  3. Step 3: Cross multiply
    110,118.46x = 165,189.81 × 35,221
  4. Step 4: Simplify right side
    110,118.46x = 5,818,150,298.01
  5. Step 5: Solve for x
    x = 5,818,150,298.01/110,118.46
  6. Step 6: Final answer
    x = 52,835.38

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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.