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Finding the Fourth Proportional to 165,797.44, 248,644.32 and 72,208.96

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Solution

The fourth proportional to 165,797.44, 248,644.32 and 72,208.96 is: 108,290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,797.44 : 248,644.32 = 72,208.96 : x
  2. Step 2: Convert to fraction form
    165,797.44/248,644.32 = 72,208.96/x
  3. Step 3: Cross multiply
    165,797.44x = 248,644.32 × 72,208.96
  4. Step 4: Simplify right side
    165,797.44x = 17,954,347,757.11
  5. Step 5: Solve for x
    x = 17,954,347,757.11/165,797.44
  6. Step 6: Final answer
    x = 108,290.86

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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.