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Finding the Fourth Proportional to 70,105.20, 105,157.78 and 20,857.20

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Solution

The fourth proportional to 70,105.20, 105,157.78 and 20,857.20 is: 31,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,105.20 : 105,157.78 = 20,857.20 : x
  2. Step 2: Convert to fraction form
    70,105.20/105,157.78 = 20,857.20/x
  3. Step 3: Cross multiply
    70,105.20x = 105,157.78 × 20,857.20
  4. Step 4: Simplify right side
    70,105.20x = 2,193,296,849.02
  5. Step 5: Solve for x
    x = 2,193,296,849.02/70,105.20
  6. Step 6: Final answer
    x = 31,285.79

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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.