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Finding the Fourth Proportional to 180,874.60, 271,311.90 and 133,635.40

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Solution

The fourth proportional to 180,874.60, 271,311.90 and 133,635.40 is: 200,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,874.60 : 271,311.90 = 133,635.40 : x
  2. Step 2: Convert to fraction form
    180,874.60/271,311.90 = 133,635.40/x
  3. Step 3: Cross multiply
    180,874.60x = 271,311.90 × 133,635.40
  4. Step 4: Simplify right side
    180,874.60x = 36,256,874,281.26
  5. Step 5: Solve for x
    x = 36,256,874,281.26/180,874.60
  6. Step 6: Final answer
    x = 200,453.10

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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.