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Finding the Fourth Proportional to 271,474.85, 374,645.30 and 164,024.12

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Solution

The fourth proportional to 271,474.85, 374,645.30 and 164,024.12 is: 226,359.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,474.85 : 374,645.30 = 164,024.12 : x
  2. Step 2: Convert to fraction form
    271,474.85/374,645.30 = 164,024.12/x
  3. Step 3: Cross multiply
    271,474.85x = 374,645.30 × 164,024.12
  4. Step 4: Simplify right side
    271,474.85x = 61,450,865,761.13
  5. Step 5: Solve for x
    x = 61,450,865,761.13/271,474.85
  6. Step 6: Final answer
    x = 226,359.33

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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.