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Finding the Fourth Proportional to 180,960.60, 271,311.30 and 75,725.40

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Solution

The fourth proportional to 180,960.60, 271,311.30 and 75,725.40 is: 113,533.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,960.60 : 271,311.30 = 75,725.40 : x
  2. Step 2: Convert to fraction form
    180,960.60/271,311.30 = 75,725.40/x
  3. Step 3: Cross multiply
    180,960.60x = 271,311.30 × 75,725.40
  4. Step 4: Simplify right side
    180,960.60x = 20,545,156,717.02
  5. Step 5: Solve for x
    x = 20,545,156,717.02/180,960.60
  6. Step 6: Final answer
    x = 113,533.87

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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.