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Finding the Fourth Proportional to 102,450.56, 141,383.04 and 57,741.44

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Solution

The fourth proportional to 102,450.56, 141,383.04 and 57,741.44 is: 79,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,450.56 : 141,383.04 = 57,741.44 : x
  2. Step 2: Convert to fraction form
    102,450.56/141,383.04 = 57,741.44/x
  3. Step 3: Cross multiply
    102,450.56x = 141,383.04 × 57,741.44
  4. Step 4: Simplify right side
    102,450.56x = 8,163,660,321.18
  5. Step 5: Solve for x
    x = 8,163,660,321.18/102,450.56
  6. Step 6: Final answer
    x = 79,683.90

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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.