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Finding the Fourth Proportional to 120,182.62, 180,278.67 and 35,944.12

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Solution

The fourth proportional to 120,182.62, 180,278.67 and 35,944.12 is: 53,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,182.62 : 180,278.67 = 35,944.12 : x
  2. Step 2: Convert to fraction form
    120,182.62/180,278.67 = 35,944.12/x
  3. Step 3: Cross multiply
    120,182.62x = 180,278.67 × 35,944.12
  4. Step 4: Simplify right side
    120,182.62x = 6,479,958,147.92
  5. Step 5: Solve for x
    x = 6,479,958,147.92/120,182.62
  6. Step 6: Final answer
    x = 53,917.60

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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.