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Finding the Fourth Proportional to 168,694.89, 252,917.34 and 102,119.31

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Solution

The fourth proportional to 168,694.89, 252,917.34 and 102,119.31 is: 153,103.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,694.89 : 252,917.34 = 102,119.31 : x
  2. Step 2: Convert to fraction form
    168,694.89/252,917.34 = 102,119.31/x
  3. Step 3: Cross multiply
    168,694.89x = 252,917.34 × 102,119.31
  4. Step 4: Simplify right side
    168,694.89x = 25,827,744,247.84
  5. Step 5: Solve for x
    x = 25,827,744,247.84/168,694.89
  6. Step 6: Final answer
    x = 153,103.30

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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.