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Finding the Fourth Proportional to 275,578.52, 413,261.16 and 107,076.66

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Solution

The fourth proportional to 275,578.52, 413,261.16 and 107,076.66 is: 160,573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,578.52 : 413,261.16 = 107,076.66 : x
  2. Step 2: Convert to fraction form
    275,578.52/413,261.16 = 107,076.66/x
  3. Step 3: Cross multiply
    275,578.52x = 413,261.16 × 107,076.66
  4. Step 4: Simplify right side
    275,578.52x = 44,250,624,720.53
  5. Step 5: Solve for x
    x = 44,250,624,720.53/275,578.52
  6. Step 6: Final answer
    x = 160,573.56

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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.