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Finding the Fourth Proportional to 122,771.82, 184,161.42 and 47,888.94

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Solution

The fourth proportional to 122,771.82, 184,161.42 and 47,888.94 is: 71,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,771.82 : 184,161.42 = 47,888.94 : x
  2. Step 2: Convert to fraction form
    122,771.82/184,161.42 = 47,888.94/x
  3. Step 3: Cross multiply
    122,771.82x = 184,161.42 × 47,888.94
  4. Step 4: Simplify right side
    122,771.82x = 8,819,295,192.69
  5. Step 5: Solve for x
    x = 8,819,295,192.69/122,771.82
  6. Step 6: Final answer
    x = 71,834.85

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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.