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Finding the Fourth Proportional to 180,469.87, 270,611.37 and 96,207.40

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Solution

The fourth proportional to 180,469.87, 270,611.37 and 96,207.40 is: 144,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,469.87 : 270,611.37 = 96,207.40 : x
  2. Step 2: Convert to fraction form
    180,469.87/270,611.37 = 96,207.40/x
  3. Step 3: Cross multiply
    180,469.87x = 270,611.37 × 96,207.40
  4. Step 4: Simplify right side
    180,469.87x = 26,034,816,318.14
  5. Step 5: Solve for x
    x = 26,034,816,318.14/180,469.87
  6. Step 6: Final answer
    x = 144,261.29

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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.