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Finding the Fourth Proportional to 144,992.68, 217,648.10 and 115,198.42

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Solution

The fourth proportional to 144,992.68, 217,648.10 and 115,198.42 is: 172,924.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,992.68 : 217,648.10 = 115,198.42 : x
  2. Step 2: Convert to fraction form
    144,992.68/217,648.10 = 115,198.42/x
  3. Step 3: Cross multiply
    144,992.68x = 217,648.10 × 115,198.42
  4. Step 4: Simplify right side
    144,992.68x = 25,072,717,236.00
  5. Step 5: Solve for x
    x = 25,072,717,236.00/144,992.68
  6. Step 6: Final answer
    x = 172,924.02

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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.