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Finding the Fourth Proportional to 257,436.60, 386,183.70 and 79,942.20

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Solution

The fourth proportional to 257,436.60, 386,183.70 and 79,942.20 is: 119,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,436.60 : 386,183.70 = 79,942.20 : x
  2. Step 2: Convert to fraction form
    257,436.60/386,183.70 = 79,942.20/x
  3. Step 3: Cross multiply
    257,436.60x = 386,183.70 × 79,942.20
  4. Step 4: Simplify right side
    257,436.60x = 30,872,374,582.14
  5. Step 5: Solve for x
    x = 30,872,374,582.14/257,436.60
  6. Step 6: Final answer
    x = 119,922.24

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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.