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Finding the Fourth Proportional to 154,662.54, 231,944.40 and 49,456.50

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Solution

The fourth proportional to 154,662.54, 231,944.40 and 49,456.50 is: 74,168.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,662.54 : 231,944.40 = 49,456.50 : x
  2. Step 2: Convert to fraction form
    154,662.54/231,944.40 = 49,456.50/x
  3. Step 3: Cross multiply
    154,662.54x = 231,944.40 × 49,456.50
  4. Step 4: Simplify right side
    154,662.54x = 11,471,158,218.60
  5. Step 5: Solve for x
    x = 11,471,158,218.60/154,662.54
  6. Step 6: Final answer
    x = 74,168.95

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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.