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Finding the Fourth Proportional to 180,894.52, 271,137.66 and 87,290.92

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Solution

The fourth proportional to 180,894.52, 271,137.66 and 87,290.92 is: 130,837.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,894.52 : 271,137.66 = 87,290.92 : x
  2. Step 2: Convert to fraction form
    180,894.52/271,137.66 = 87,290.92/x
  3. Step 3: Cross multiply
    180,894.52x = 271,137.66 × 87,290.92
  4. Step 4: Simplify right side
    180,894.52x = 23,667,855,788.05
  5. Step 5: Solve for x
    x = 23,667,855,788.05/180,894.52
  6. Step 6: Final answer
    x = 130,837.88

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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.