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Finding the Fourth Proportional to 109,697.70, 164,422.20 and 50,410.86

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Solution

The fourth proportional to 109,697.70, 164,422.20 and 50,410.86 is: 75,559.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,697.70 : 164,422.20 = 50,410.86 : x
  2. Step 2: Convert to fraction form
    109,697.70/164,422.20 = 50,410.86/x
  3. Step 3: Cross multiply
    109,697.70x = 164,422.20 × 50,410.86
  4. Step 4: Simplify right side
    109,697.70x = 8,288,664,505.09
  5. Step 5: Solve for x
    x = 8,288,664,505.09/109,697.70
  6. Step 6: Final answer
    x = 75,559.15

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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.