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Finding the Fourth Proportional to 122,901.69, 184,424.09 and 51,819.87

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Solution

The fourth proportional to 122,901.69, 184,424.09 and 51,819.87 is: 77,759.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,901.69 : 184,424.09 = 51,819.87 : x
  2. Step 2: Convert to fraction form
    122,901.69/184,424.09 = 51,819.87/x
  3. Step 3: Cross multiply
    122,901.69x = 184,424.09 × 51,819.87
  4. Step 4: Simplify right side
    122,901.69x = 9,556,832,109.57
  5. Step 5: Solve for x
    x = 9,556,832,109.57/122,901.69
  6. Step 6: Final answer
    x = 77,759.97

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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.