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Finding the Fourth Proportional to 180,259.64, 270,152.94 and 132,651.89

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Solution

The fourth proportional to 180,259.64, 270,152.94 and 132,651.89 is: 198,803.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,259.64 : 270,152.94 = 132,651.89 : x
  2. Step 2: Convert to fraction form
    180,259.64/270,152.94 = 132,651.89/x
  3. Step 3: Cross multiply
    180,259.64x = 270,152.94 × 132,651.89
  4. Step 4: Simplify right side
    180,259.64x = 35,836,297,493.64
  5. Step 5: Solve for x
    x = 35,836,297,493.64/180,259.64
  6. Step 6: Final answer
    x = 198,803.78

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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.