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Finding the Fourth Proportional to 275,754.06, 413,669.97 and 98,208.54

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Solution

The fourth proportional to 275,754.06, 413,669.97 and 98,208.54 is: 147,326.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,754.06 : 413,669.97 = 98,208.54 : x
  2. Step 2: Convert to fraction form
    275,754.06/413,669.97 = 98,208.54/x
  3. Step 3: Cross multiply
    275,754.06x = 413,669.97 × 98,208.54
  4. Step 4: Simplify right side
    275,754.06x = 40,625,923,795.54
  5. Step 5: Solve for x
    x = 40,625,923,795.54/275,754.06
  6. Step 6: Final answer
    x = 147,326.66

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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.