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Finding the Fourth Proportional to 168,906.64, 252,854.84 and 102,144.72

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Solution

The fourth proportional to 168,906.64, 252,854.84 and 102,144.72 is: 152,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,906.64 : 252,854.84 = 102,144.72 : x
  2. Step 2: Convert to fraction form
    168,906.64/252,854.84 = 102,144.72/x
  3. Step 3: Cross multiply
    168,906.64x = 252,854.84 × 102,144.72
  4. Step 4: Simplify right side
    168,906.64x = 25,827,786,832.44
  5. Step 5: Solve for x
    x = 25,827,786,832.44/168,906.64
  6. Step 6: Final answer
    x = 152,911.61

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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.