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Finding the Fourth Proportional to 164,230.65, 246,324.80 and 51,922.28

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Solution

The fourth proportional to 164,230.65, 246,324.80 and 51,922.28 is: 77,876.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,230.65 : 246,324.80 = 51,922.28 : x
  2. Step 2: Convert to fraction form
    164,230.65/246,324.80 = 51,922.28/x
  3. Step 3: Cross multiply
    164,230.65x = 246,324.80 × 51,922.28
  4. Step 4: Simplify right side
    164,230.65x = 12,789,743,745.31
  5. Step 5: Solve for x
    x = 12,789,743,745.31/164,230.65
  6. Step 6: Final answer
    x = 77,876.72

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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.