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Finding the Fourth Proportional to 261,826.21, 361,361.22 and 154,408.06

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Solution

The fourth proportional to 261,826.21, 361,361.22 and 154,408.06 is: 213,107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,826.21 : 361,361.22 = 154,408.06 : x
  2. Step 2: Convert to fraction form
    261,826.21/361,361.22 = 154,408.06/x
  3. Step 3: Cross multiply
    261,826.21x = 361,361.22 × 154,408.06
  4. Step 4: Simplify right side
    261,826.21x = 55,797,084,167.39
  5. Step 5: Solve for x
    x = 55,797,084,167.39/261,826.21
  6. Step 6: Final answer
    x = 213,107.33

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