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Finding the Fourth Proportional to 262,408.29, 362,135.09 and 147,694.36

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Solution

The fourth proportional to 262,408.29, 362,135.09 and 147,694.36 is: 203,824.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,408.29 : 362,135.09 = 147,694.36 : x
  2. Step 2: Convert to fraction form
    262,408.29/362,135.09 = 147,694.36/x
  3. Step 3: Cross multiply
    262,408.29x = 362,135.09 × 147,694.36
  4. Step 4: Simplify right side
    262,408.29x = 53,485,311,097.11
  5. Step 5: Solve for x
    x = 53,485,311,097.11/262,408.29
  6. Step 6: Final answer
    x = 203,824.78

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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.