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Finding the Fourth Proportional to 275,905.46, 413,770.70 and 118,091.54

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Solution

The fourth proportional to 275,905.46, 413,770.70 and 118,091.54 is: 177,099.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,905.46 : 413,770.70 = 118,091.54 : x
  2. Step 2: Convert to fraction form
    275,905.46/413,770.70 = 118,091.54/x
  3. Step 3: Cross multiply
    275,905.46x = 413,770.70 × 118,091.54
  4. Step 4: Simplify right side
    275,905.46x = 48,862,816,510.57
  5. Step 5: Solve for x
    x = 48,862,816,510.57/275,905.46
  6. Step 6: Final answer
    x = 177,099.86

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Why These Related Problems?

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