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Finding the Fourth Proportional to 133,341.60, 200,091.24 and 49,161

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Solution

The fourth proportional to 133,341.60, 200,091.24 and 49,161 is: 73,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,341.60 : 200,091.24 = 49,161 : x
  2. Step 2: Convert to fraction form
    133,341.60/200,091.24 = 49,161/x
  3. Step 3: Cross multiply
    133,341.60x = 200,091.24 × 49,161
  4. Step 4: Simplify right side
    133,341.60x = 9,836,685,449.64
  5. Step 5: Solve for x
    x = 9,836,685,449.64/133,341.60
  6. Step 6: Final answer
    x = 73,770.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.