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Finding the Fourth Proportional to 180,006.80, 270,010.20 and 80,214.80

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Solution

The fourth proportional to 180,006.80, 270,010.20 and 80,214.80 is: 120,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,006.80 : 270,010.20 = 80,214.80 : x
  2. Step 2: Convert to fraction form
    180,006.80/270,010.20 = 80,214.80/x
  3. Step 3: Cross multiply
    180,006.80x = 270,010.20 × 80,214.80
  4. Step 4: Simplify right side
    180,006.80x = 21,658,814,190.96
  5. Step 5: Solve for x
    x = 21,658,814,190.96/180,006.80
  6. Step 6: Final answer
    x = 120,322.20

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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.