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Finding the Fourth Proportional to 268,122.60, 402,410.70 and 110,464.20

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Solution

The fourth proportional to 268,122.60, 402,410.70 and 110,464.20 is: 165,789.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,122.60 : 402,410.70 = 110,464.20 : x
  2. Step 2: Convert to fraction form
    268,122.60/402,410.70 = 110,464.20/x
  3. Step 3: Cross multiply
    268,122.60x = 402,410.70 × 110,464.20
  4. Step 4: Simplify right side
    268,122.60x = 44,451,976,046.94
  5. Step 5: Solve for x
    x = 44,451,976,046.94/268,122.60
  6. Step 6: Final answer
    x = 165,789.74

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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.