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Finding the Fourth Proportional to 102,383.52, 141,361.23 and 71,821.54

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Solution

The fourth proportional to 102,383.52, 141,361.23 and 71,821.54 is: 99,164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,383.52 : 141,361.23 = 71,821.54 : x
  2. Step 2: Convert to fraction form
    102,383.52/141,361.23 = 71,821.54/x
  3. Step 3: Cross multiply
    102,383.52x = 141,361.23 × 71,821.54
  4. Step 4: Simplify right side
    102,383.52x = 10,152,781,234.89
  5. Step 5: Solve for x
    x = 10,152,781,234.89/102,383.52
  6. Step 6: Final answer
    x = 99,164.21

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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.