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Finding the Fourth Proportional to 165,956.20, 248,637.30 and 100,922.20

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Solution

The fourth proportional to 165,956.20, 248,637.30 and 100,922.20 is: 151,202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,956.20 : 248,637.30 = 100,922.20 : x
  2. Step 2: Convert to fraction form
    165,956.20/248,637.30 = 100,922.20/x
  3. Step 3: Cross multiply
    165,956.20x = 248,637.30 × 100,922.20
  4. Step 4: Simplify right side
    165,956.20x = 25,093,023,318.06
  5. Step 5: Solve for x
    x = 25,093,023,318.06/165,956.20
  6. Step 6: Final answer
    x = 151,202.69

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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.