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Finding the Fourth Proportional to 110,334.80, 165,502.20 and 82,341.20

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Solution

The fourth proportional to 110,334.80, 165,502.20 and 82,341.20 is: 123,511.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,334.80 : 165,502.20 = 82,341.20 : x
  2. Step 2: Convert to fraction form
    110,334.80/165,502.20 = 82,341.20/x
  3. Step 3: Cross multiply
    110,334.80x = 165,502.20 × 82,341.20
  4. Step 4: Simplify right side
    110,334.80x = 13,627,649,750.64
  5. Step 5: Solve for x
    x = 13,627,649,750.64/110,334.80
  6. Step 6: Final answer
    x = 123,511.80

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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.