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Finding the Fourth Proportional to 164,120.36, 246,180.54 and 51,879.42

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Solution

The fourth proportional to 164,120.36, 246,180.54 and 51,879.42 is: 77,819.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,120.36 : 246,180.54 = 51,879.42 : x
  2. Step 2: Convert to fraction form
    164,120.36/246,180.54 = 51,879.42/x
  3. Step 3: Cross multiply
    164,120.36x = 246,180.54 × 51,879.42
  4. Step 4: Simplify right side
    164,120.36x = 12,771,703,630.49
  5. Step 5: Solve for x
    x = 12,771,703,630.49/164,120.36
  6. Step 6: Final answer
    x = 77,819.13

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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.