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Finding the Fourth Proportional to 204,265.20, 306,138.60 and 180,937.20

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Solution

The fourth proportional to 204,265.20, 306,138.60 and 180,937.20 is: 271,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,265.20 : 306,138.60 = 180,937.20 : x
  2. Step 2: Convert to fraction form
    204,265.20/306,138.60 = 180,937.20/x
  3. Step 3: Cross multiply
    204,265.20x = 306,138.60 × 180,937.20
  4. Step 4: Simplify right side
    204,265.20x = 55,391,861,095.92
  5. Step 5: Solve for x
    x = 55,391,861,095.92/204,265.20
  6. Step 6: Final answer
    x = 271,176.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.