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Finding the Fourth Proportional to 276,691.84, 414,372.42 and 158,003.44

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Solution

The fourth proportional to 276,691.84, 414,372.42 and 158,003.44 is: 236,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,691.84 : 414,372.42 = 158,003.44 : x
  2. Step 2: Convert to fraction form
    276,691.84/414,372.42 = 158,003.44/x
  3. Step 3: Cross multiply
    276,691.84x = 414,372.42 × 158,003.44
  4. Step 4: Simplify right side
    276,691.84x = 65,472,267,801.12
  5. Step 5: Solve for x
    x = 65,472,267,801.12/276,691.84
  6. Step 6: Final answer
    x = 236,625.22

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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.