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Finding the Fourth Proportional to 107,213.20, 160,819.80 and 48,164.20

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Solution

The fourth proportional to 107,213.20, 160,819.80 and 48,164.20 is: 72,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,213.20 : 160,819.80 = 48,164.20 : x
  2. Step 2: Convert to fraction form
    107,213.20/160,819.80 = 48,164.20/x
  3. Step 3: Cross multiply
    107,213.20x = 160,819.80 × 48,164.20
  4. Step 4: Simplify right side
    107,213.20x = 7,745,757,011.16
  5. Step 5: Solve for x
    x = 7,745,757,011.16/107,213.20
  6. Step 6: Final answer
    x = 72,246.30

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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.