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Finding the Fourth Proportional to 135,446.30, 186,917.84 and 78,084.53

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Solution

The fourth proportional to 135,446.30, 186,917.84 and 78,084.53 is: 107,757.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,446.30 : 186,917.84 = 78,084.53 : x
  2. Step 2: Convert to fraction form
    135,446.30/186,917.84 = 78,084.53/x
  3. Step 3: Cross multiply
    135,446.30x = 186,917.84 × 78,084.53
  4. Step 4: Simplify right side
    135,446.30x = 14,595,391,685.02
  5. Step 5: Solve for x
    x = 14,595,391,685.02/135,446.30
  6. Step 6: Final answer
    x = 107,757.77

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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.