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Finding the Fourth Proportional to 110,269.89, 165,385 and 29,217.46

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Solution

The fourth proportional to 110,269.89, 165,385 and 29,217.46 is: 43,820.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,269.89 : 165,385 = 29,217.46 : x
  2. Step 2: Convert to fraction form
    110,269.89/165,385 = 29,217.46/x
  3. Step 3: Cross multiply
    110,269.89x = 165,385 × 29,217.46
  4. Step 4: Simplify right side
    110,269.89x = 4,832,129,622.10
  5. Step 5: Solve for x
    x = 4,832,129,622.10/110,269.89
  6. Step 6: Final answer
    x = 43,820.93

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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.