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Finding the Fourth Proportional to 180,137.28, 270,110.34 and 90,081.48

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Solution

The fourth proportional to 180,137.28, 270,110.34 and 90,081.48 is: 135,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,137.28 : 270,110.34 = 90,081.48 : x
  2. Step 2: Convert to fraction form
    180,137.28/270,110.34 = 90,081.48/x
  3. Step 3: Cross multiply
    180,137.28x = 270,110.34 × 90,081.48
  4. Step 4: Simplify right side
    180,137.28x = 24,331,939,190.50
  5. Step 5: Solve for x
    x = 24,331,939,190.50/180,137.28
  6. Step 6: Final answer
    x = 135,074.42

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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.