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Finding the Fourth Proportional to 164,132.64, 226,558.44 and 102,091.44

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Solution

The fourth proportional to 164,132.64, 226,558.44 and 102,091.44 is: 140,920.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,132.64 : 226,558.44 = 102,091.44 : x
  2. Step 2: Convert to fraction form
    164,132.64/226,558.44 = 102,091.44/x
  3. Step 3: Cross multiply
    164,132.64x = 226,558.44 × 102,091.44
  4. Step 4: Simplify right side
    164,132.64x = 23,129,677,383.75
  5. Step 5: Solve for x
    x = 23,129,677,383.75/164,132.64
  6. Step 6: Final answer
    x = 140,920.64

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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.