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Finding the Fourth Proportional to 226,832, 313,028.16 and 126,230.08

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Solution

The fourth proportional to 226,832, 313,028.16 and 126,230.08 is: 174,197.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,832 : 313,028.16 = 126,230.08 : x
  2. Step 2: Convert to fraction form
    226,832/313,028.16 = 126,230.08/x
  3. Step 3: Cross multiply
    226,832x = 313,028.16 × 126,230.08
  4. Step 4: Simplify right side
    226,832x = 39,513,569,679.05
  5. Step 5: Solve for x
    x = 39,513,569,679.05/226,832
  6. Step 6: Final answer
    x = 174,197.51

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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.