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Finding the Fourth Proportional to 299,787.49, 449,670.51 and 75,149.77

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Solution

The fourth proportional to 299,787.49, 449,670.51 and 75,149.77 is: 112,721.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,787.49 : 449,670.51 = 75,149.77 : x
  2. Step 2: Convert to fraction form
    299,787.49/449,670.51 = 75,149.77/x
  3. Step 3: Cross multiply
    299,787.49x = 449,670.51 × 75,149.77
  4. Step 4: Simplify right side
    299,787.49x = 33,792,635,402.28
  5. Step 5: Solve for x
    x = 33,792,635,402.28/299,787.49
  6. Step 6: Final answer
    x = 112,721.97

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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.