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Finding the Fourth Proportional to 275,444.67, 413,168.82 and 75,786.15

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Solution

The fourth proportional to 275,444.67, 413,168.82 and 75,786.15 is: 113,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,444.67 : 413,168.82 = 75,786.15 : x
  2. Step 2: Convert to fraction form
    275,444.67/413,168.82 = 75,786.15/x
  3. Step 3: Cross multiply
    275,444.67x = 413,168.82 × 75,786.15
  4. Step 4: Simplify right side
    275,444.67x = 31,312,472,102.00
  5. Step 5: Solve for x
    x = 31,312,472,102.00/275,444.67
  6. Step 6: Final answer
    x = 113,679.72

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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.