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Finding the Fourth Proportional to 122,998.57, 184,493.75 and 50,949.22

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Solution

The fourth proportional to 122,998.57, 184,493.75 and 50,949.22 is: 76,422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,998.57 : 184,493.75 = 50,949.22 : x
  2. Step 2: Convert to fraction form
    122,998.57/184,493.75 = 50,949.22/x
  3. Step 3: Cross multiply
    122,998.57x = 184,493.75 × 50,949.22
  4. Step 4: Simplify right side
    122,998.57x = 9,399,812,573.91
  5. Step 5: Solve for x
    x = 9,399,812,573.91/122,998.57
  6. Step 6: Final answer
    x = 76,422.13

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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.