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Finding the Fourth Proportional to 165,847, 248,809.38 and 55,039

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Solution

The fourth proportional to 165,847, 248,809.38 and 55,039 is: 82,571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,847 : 248,809.38 = 55,039 : x
  2. Step 2: Convert to fraction form
    165,847/248,809.38 = 55,039/x
  3. Step 3: Cross multiply
    165,847x = 248,809.38 × 55,039
  4. Step 4: Simplify right side
    165,847x = 13,694,219,465.82
  5. Step 5: Solve for x
    x = 13,694,219,465.82/165,847
  6. Step 6: Final answer
    x = 82,571.40

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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.