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Finding the Fourth Proportional to 180,911.64, 271,380.46 and 47,790.60

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Solution

The fourth proportional to 180,911.64, 271,380.46 and 47,790.60 is: 71,689.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,911.64 : 271,380.46 = 47,790.60 : x
  2. Step 2: Convert to fraction form
    180,911.64/271,380.46 = 47,790.60/x
  3. Step 3: Cross multiply
    180,911.64x = 271,380.46 × 47,790.60
  4. Step 4: Simplify right side
    180,911.64x = 12,969,435,011.68
  5. Step 5: Solve for x
    x = 12,969,435,011.68/180,911.64
  6. Step 6: Final answer
    x = 71,689.33

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1.5x scale

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.