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Finding the Fourth Proportional to 276,093.48, 414,078.66 and 107,618.34

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Solution

The fourth proportional to 276,093.48, 414,078.66 and 107,618.34 is: 161,403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,093.48 : 414,078.66 = 107,618.34 : x
  2. Step 2: Convert to fraction form
    276,093.48/414,078.66 = 107,618.34/x
  3. Step 3: Cross multiply
    276,093.48x = 414,078.66 × 107,618.34
  4. Step 4: Simplify right side
    276,093.48x = 44,562,458,018.62
  5. Step 5: Solve for x
    x = 44,562,458,018.62/276,093.48
  6. Step 6: Final answer
    x = 161,403.51

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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.