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Finding the Fourth Proportional to 275,797.14, 413,458.76 and 95,859.20

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Solution

The fourth proportional to 275,797.14, 413,458.76 and 95,859.20 is: 143,706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,797.14 : 413,458.76 = 95,859.20 : x
  2. Step 2: Convert to fraction form
    275,797.14/413,458.76 = 95,859.20/x
  3. Step 3: Cross multiply
    275,797.14x = 413,458.76 × 95,859.20
  4. Step 4: Simplify right side
    275,797.14x = 39,633,823,420.00
  5. Step 5: Solve for x
    x = 39,633,823,420.00/275,797.14
  6. Step 6: Final answer
    x = 143,706.43

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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.