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Finding the Fourth Proportional to 275,562.75, 413,370.25 and 107,096.06

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Solution

The fourth proportional to 275,562.75, 413,370.25 and 107,096.06 is: 160,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,562.75 : 413,370.25 = 107,096.06 : x
  2. Step 2: Convert to fraction form
    275,562.75/413,370.25 = 107,096.06/x
  3. Step 3: Cross multiply
    275,562.75x = 413,370.25 × 107,096.06
  4. Step 4: Simplify right side
    275,562.75x = 44,270,325,861.90
  5. Step 5: Solve for x
    x = 44,270,325,861.90/275,562.75
  6. Step 6: Final answer
    x = 160,654.25

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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.