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Finding the Fourth Proportional to 313,109.82, 432,092.48 and 169,871.04

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Solution

The fourth proportional to 313,109.82, 432,092.48 and 169,871.04 is: 234,422.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,109.82 : 432,092.48 = 169,871.04 : x
  2. Step 2: Convert to fraction form
    313,109.82/432,092.48 = 169,871.04/x
  3. Step 3: Cross multiply
    313,109.82x = 432,092.48 × 169,871.04
  4. Step 4: Simplify right side
    313,109.82x = 73,399,998,104.42
  5. Step 5: Solve for x
    x = 73,399,998,104.42/313,109.82
  6. Step 6: Final answer
    x = 234,422.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.