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Finding the Fourth Proportional to 276,481.82, 414,884.03 and 116,548.03

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Solution

The fourth proportional to 276,481.82, 414,884.03 and 116,548.03 is: 174,890.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,481.82 : 414,884.03 = 116,548.03 : x
  2. Step 2: Convert to fraction form
    276,481.82/414,884.03 = 116,548.03/x
  3. Step 3: Cross multiply
    276,481.82x = 414,884.03 × 116,548.03
  4. Step 4: Simplify right side
    276,481.82x = 48,353,916,310.83
  5. Step 5: Solve for x
    x = 48,353,916,310.83/276,481.82
  6. Step 6: Final answer
    x = 174,890.04

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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.