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Finding the Fourth Proportional to 168,849.84, 253,092.48 and 109,727.92

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Solution

The fourth proportional to 168,849.84, 253,092.48 and 109,727.92 is: 164,473.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,849.84 : 253,092.48 = 109,727.92 : x
  2. Step 2: Convert to fraction form
    168,849.84/253,092.48 = 109,727.92/x
  3. Step 3: Cross multiply
    168,849.84x = 253,092.48 × 109,727.92
  4. Step 4: Simplify right side
    168,849.84x = 27,771,311,398.04
  5. Step 5: Solve for x
    x = 27,771,311,398.04/168,849.84
  6. Step 6: Final answer
    x = 164,473.42

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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.