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Finding the Fourth Proportional to 164,644.90, 246,947.91 and 52,324.90

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Solution

The fourth proportional to 164,644.90, 246,947.91 and 52,324.90 is: 78,481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,644.90 : 246,947.91 = 52,324.90 : x
  2. Step 2: Convert to fraction form
    164,644.90/246,947.91 = 52,324.90/x
  3. Step 3: Cross multiply
    164,644.90x = 246,947.91 × 52,324.90
  4. Step 4: Simplify right side
    164,644.90x = 12,921,524,695.96
  5. Step 5: Solve for x
    x = 12,921,524,695.96/164,644.90
  6. Step 6: Final answer
    x = 78,481.17

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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.