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Finding the Fourth Proportional to 164,232.13, 226,676.62 and 106,771.44

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Solution

The fourth proportional to 164,232.13, 226,676.62 and 106,771.44 is: 147,368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,232.13 : 226,676.62 = 106,771.44 : x
  2. Step 2: Convert to fraction form
    164,232.13/226,676.62 = 106,771.44/x
  3. Step 3: Cross multiply
    164,232.13x = 226,676.62 × 106,771.44
  4. Step 4: Simplify right side
    164,232.13x = 24,202,589,131.73
  5. Step 5: Solve for x
    x = 24,202,589,131.73/164,232.13
  6. Step 6: Final answer
    x = 147,368.17

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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.