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Finding the Fourth Proportional to 271,476.75, 374,647.92 and 164,026.01

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Solution

The fourth proportional to 271,476.75, 374,647.92 and 164,026.01 is: 226,361.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,476.75 : 374,647.92 = 164,026.01 : x
  2. Step 2: Convert to fraction form
    271,476.75/374,647.92 = 164,026.01/x
  3. Step 3: Cross multiply
    271,476.75x = 374,647.92 × 164,026.01
  4. Step 4: Simplify right side
    271,476.75x = 61,452,005,419.03
  5. Step 5: Solve for x
    x = 61,452,005,419.03/271,476.75
  6. Step 6: Final answer
    x = 226,361.95

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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.