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Finding the Fourth Proportional to 107,213.20, 160,819.80 and 100,214.80

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Solution

The fourth proportional to 107,213.20, 160,819.80 and 100,214.80 is: 150,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,213.20 : 160,819.80 = 100,214.80 : x
  2. Step 2: Convert to fraction form
    107,213.20/160,819.80 = 100,214.80/x
  3. Step 3: Cross multiply
    107,213.20x = 160,819.80 × 100,214.80
  4. Step 4: Simplify right side
    107,213.20x = 16,116,524,093.04
  5. Step 5: Solve for x
    x = 16,116,524,093.04/107,213.20
  6. Step 6: Final answer
    x = 150,322.20

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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.