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Finding the Fourth Proportional to 180,139.70, 270,363.15 and 80,453.30

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Solution

The fourth proportional to 180,139.70, 270,363.15 and 80,453.30 is: 120,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,139.70 : 270,363.15 = 80,453.30 : x
  2. Step 2: Convert to fraction form
    180,139.70/270,363.15 = 80,453.30/x
  3. Step 3: Cross multiply
    180,139.70x = 270,363.15 × 80,453.30
  4. Step 4: Simplify right side
    180,139.70x = 21,751,607,615.90
  5. Step 5: Solve for x
    x = 21,751,607,615.90/180,139.70
  6. Step 6: Final answer
    x = 120,748.55

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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.