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Finding the Fourth Proportional to 110,137.82, 165,141.12 and 43,587.41

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Solution

The fourth proportional to 110,137.82, 165,141.12 and 43,587.41 is: 65,355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,137.82 : 165,141.12 = 43,587.41 : x
  2. Step 2: Convert to fraction form
    110,137.82/165,141.12 = 43,587.41/x
  3. Step 3: Cross multiply
    110,137.82x = 165,141.12 × 43,587.41
  4. Step 4: Simplify right side
    110,137.82x = 7,198,073,705.30
  5. Step 5: Solve for x
    x = 7,198,073,705.30/110,137.82
  6. Step 6: Final answer
    x = 65,355.15

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Why These Related Problems?

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