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Finding the Fourth Proportional to 141,892.56, 195,845.85 and 85,293

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Solution

The fourth proportional to 141,892.56, 195,845.85 and 85,293 is: 117,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,892.56 : 195,845.85 = 85,293 : x
  2. Step 2: Convert to fraction form
    141,892.56/195,845.85 = 85,293/x
  3. Step 3: Cross multiply
    141,892.56x = 195,845.85 × 85,293
  4. Step 4: Simplify right side
    141,892.56x = 16,704,280,084.05
  5. Step 5: Solve for x
    x = 16,704,280,084.05/141,892.56
  6. Step 6: Final answer
    x = 117,724.85

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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.