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Finding the Fourth Proportional to 180,286.32, 270,315 and 95,994.48

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Solution

The fourth proportional to 180,286.32, 270,315 and 95,994.48 is: 143,930.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,286.32 : 270,315 = 95,994.48 : x
  2. Step 2: Convert to fraction form
    180,286.32/270,315 = 95,994.48/x
  3. Step 3: Cross multiply
    180,286.32x = 270,315 × 95,994.48
  4. Step 4: Simplify right side
    180,286.32x = 25,948,747,861.20
  5. Step 5: Solve for x
    x = 25,948,747,861.20/180,286.32
  6. Step 6: Final answer
    x = 143,930.76

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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.