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Finding the Fourth Proportional to 276,403.54, 414,603.94 and 107,940.98

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Solution

The fourth proportional to 276,403.54, 414,603.94 and 107,940.98 is: 161,910.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,403.54 : 414,603.94 = 107,940.98 : x
  2. Step 2: Convert to fraction form
    276,403.54/414,603.94 = 107,940.98/x
  3. Step 3: Cross multiply
    276,403.54x = 414,603.94 × 107,940.98
  4. Step 4: Simplify right side
    276,403.54x = 44,752,753,522.44
  5. Step 5: Solve for x
    x = 44,752,753,522.44/276,403.54
  6. Step 6: Final answer
    x = 161,910.93

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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.