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Finding the Fourth Proportional to 102,522.94, 141,481.21 and 57,198.23

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Solution

The fourth proportional to 102,522.94, 141,481.21 and 57,198.23 is: 78,933.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,522.94 : 141,481.21 = 57,198.23 : x
  2. Step 2: Convert to fraction form
    102,522.94/141,481.21 = 57,198.23/x
  3. Step 3: Cross multiply
    102,522.94x = 141,481.21 × 57,198.23
  4. Step 4: Simplify right side
    102,522.94x = 8,092,474,790.26
  5. Step 5: Solve for x
    x = 8,092,474,790.26/102,522.94
  6. Step 6: Final answer
    x = 78,933.31

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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.