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Finding the Fourth Proportional to 276,402.89, 414,602.98 and 107,940.33

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Solution

The fourth proportional to 276,402.89, 414,602.98 and 107,940.33 is: 161,909.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,402.89 : 414,602.98 = 107,940.33 : x
  2. Step 2: Convert to fraction form
    276,402.89/414,602.98 = 107,940.33/x
  3. Step 3: Cross multiply
    276,402.89x = 414,602.98 × 107,940.33
  4. Step 4: Simplify right side
    276,402.89x = 44,752,383,291.30
  5. Step 5: Solve for x
    x = 44,752,383,291.30/276,402.89
  6. Step 6: Final answer
    x = 161,909.97

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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.