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Finding the Fourth Proportional to 135,042.60, 186,353.82 and 80,597.64

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Solution

The fourth proportional to 135,042.60, 186,353.82 and 80,597.64 is: 111,221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,042.60 : 186,353.82 = 80,597.64 : x
  2. Step 2: Convert to fraction form
    135,042.60/186,353.82 = 80,597.64/x
  3. Step 3: Cross multiply
    135,042.60x = 186,353.82 × 80,597.64
  4. Step 4: Simplify right side
    135,042.60x = 15,019,678,096.98
  5. Step 5: Solve for x
    x = 15,019,678,096.98/135,042.60
  6. Step 6: Final answer
    x = 111,221.78

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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.