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Finding the Fourth Proportional to 164,220.21, 246,367.17 and 51,906.96

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Solution

The fourth proportional to 164,220.21, 246,367.17 and 51,906.96 is: 77,872.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,220.21 : 246,367.17 = 51,906.96 : x
  2. Step 2: Convert to fraction form
    164,220.21/246,367.17 = 51,906.96/x
  3. Step 3: Cross multiply
    164,220.21x = 246,367.17 × 51,906.96
  4. Step 4: Simplify right side
    164,220.21x = 12,788,170,838.50
  5. Step 5: Solve for x
    x = 12,788,170,838.50/164,220.21
  6. Step 6: Final answer
    x = 77,872.09

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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.