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Finding the Fourth Proportional to 271,584.82, 374,832.10 and 158,407.56

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Solution

The fourth proportional to 271,584.82, 374,832.10 and 158,407.56 is: 218,628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,584.82 : 374,832.10 = 158,407.56 : x
  2. Step 2: Convert to fraction form
    271,584.82/374,832.10 = 158,407.56/x
  3. Step 3: Cross multiply
    271,584.82x = 374,832.10 × 158,407.56
  4. Step 4: Simplify right side
    271,584.82x = 59,376,238,370.68
  5. Step 5: Solve for x
    x = 59,376,238,370.68/271,584.82
  6. Step 6: Final answer
    x = 218,628.71

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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.