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Finding the Fourth Proportional to 164,757.78, 247,138.02 and 107,879.64

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Solution

The fourth proportional to 164,757.78, 247,138.02 and 107,879.64 is: 161,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,757.78 : 247,138.02 = 107,879.64 : x
  2. Step 2: Convert to fraction form
    164,757.78/247,138.02 = 107,879.64/x
  3. Step 3: Cross multiply
    164,757.78x = 247,138.02 × 107,879.64
  4. Step 4: Simplify right side
    164,757.78x = 26,661,160,627.91
  5. Step 5: Solve for x
    x = 26,661,160,627.91/164,757.78
  6. Step 6: Final answer
    x = 161,820.34

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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.