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Finding the Fourth Proportional to 180,965.36, 271,404.30 and 75,863

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Solution

The fourth proportional to 180,965.36, 271,404.30 and 75,863 is: 113,776.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,965.36 : 271,404.30 = 75,863 : x
  2. Step 2: Convert to fraction form
    180,965.36/271,404.30 = 75,863/x
  3. Step 3: Cross multiply
    180,965.36x = 271,404.30 × 75,863
  4. Step 4: Simplify right side
    180,965.36x = 20,589,544,410.90
  5. Step 5: Solve for x
    x = 20,589,544,410.90/180,965.36
  6. Step 6: Final answer
    x = 113,776.16

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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.