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Finding the Fourth Proportional to 227,478.78, 340,518.33 and 148,422.78

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Solution

The fourth proportional to 227,478.78, 340,518.33 and 148,422.78 is: 222,177.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,478.78 : 340,518.33 = 148,422.78 : x
  2. Step 2: Convert to fraction form
    227,478.78/340,518.33 = 148,422.78/x
  3. Step 3: Cross multiply
    227,478.78x = 340,518.33 × 148,422.78
  4. Step 4: Simplify right side
    227,478.78x = 50,540,677,179.56
  5. Step 5: Solve for x
    x = 50,540,677,179.56/227,478.78
  6. Step 6: Final answer
    x = 222,177.55

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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.