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Finding the Fourth Proportional to 300,049.92, 414,046.08 and 165,905.28

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Solution

The fourth proportional to 300,049.92, 414,046.08 and 165,905.28 is: 228,936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,049.92 : 414,046.08 = 165,905.28 : x
  2. Step 2: Convert to fraction form
    300,049.92/414,046.08 = 165,905.28/x
  3. Step 3: Cross multiply
    300,049.92x = 414,046.08 × 165,905.28
  4. Step 4: Simplify right side
    300,049.92x = 68,692,430,835.30
  5. Step 5: Solve for x
    x = 68,692,430,835.30/300,049.92
  6. Step 6: Final answer
    x = 228,936.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.