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Finding the Fourth Proportional to 180,379.96, 270,632.10 and 80,609.02

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Solution

The fourth proportional to 180,379.96, 270,632.10 and 80,609.02 is: 120,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,379.96 : 270,632.10 = 80,609.02 : x
  2. Step 2: Convert to fraction form
    180,379.96/270,632.10 = 80,609.02/x
  3. Step 3: Cross multiply
    180,379.96x = 270,632.10 × 80,609.02
  4. Step 4: Simplify right side
    180,379.96x = 21,815,388,361.54
  5. Step 5: Solve for x
    x = 21,815,388,361.54/180,379.96
  6. Step 6: Final answer
    x = 120,941.31

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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.