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Finding the Fourth Proportional to 275,740.66, 413,253.38 and 123,825.56

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Solution

The fourth proportional to 275,740.66, 413,253.38 and 123,825.56 is: 185,577.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,740.66 : 413,253.38 = 123,825.56 : x
  2. Step 2: Convert to fraction form
    275,740.66/413,253.38 = 123,825.56/x
  3. Step 3: Cross multiply
    275,740.66x = 413,253.38 × 123,825.56
  4. Step 4: Simplify right side
    275,740.66x = 51,171,331,200.39
  5. Step 5: Solve for x
    x = 51,171,331,200.39/275,740.66
  6. Step 6: Final answer
    x = 185,577.75

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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.