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Finding the Fourth Proportional to 151,964.78, 227,978.85 and 46,778.54

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Solution

The fourth proportional to 151,964.78, 227,978.85 and 46,778.54 is: 70,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,964.78 : 227,978.85 = 46,778.54 : x
  2. Step 2: Convert to fraction form
    151,964.78/227,978.85 = 46,778.54/x
  3. Step 3: Cross multiply
    151,964.78x = 227,978.85 × 46,778.54
  4. Step 4: Simplify right side
    151,964.78x = 10,664,517,753.88
  5. Step 5: Solve for x
    x = 10,664,517,753.88/151,964.78
  6. Step 6: Final answer
    x = 70,177.56

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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.