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Finding the Fourth Proportional to 276,261.57, 414,589.05 and 126,408.33

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Solution

The fourth proportional to 276,261.57, 414,589.05 and 126,408.33 is: 189,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,261.57 : 414,589.05 = 126,408.33 : x
  2. Step 2: Convert to fraction form
    276,261.57/414,589.05 = 126,408.33/x
  3. Step 3: Cross multiply
    276,261.57x = 414,589.05 × 126,408.33
  4. Step 4: Simplify right side
    276,261.57x = 52,407,509,446.79
  5. Step 5: Solve for x
    x = 52,407,509,446.79/276,261.57
  6. Step 6: Final answer
    x = 189,702.50

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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.