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Finding the Fourth Proportional to 122,873, 184,338.75 and 39,767

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Solution

The fourth proportional to 122,873, 184,338.75 and 39,767 is: 59,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,873 : 184,338.75 = 39,767 : x
  2. Step 2: Convert to fraction form
    122,873/184,338.75 = 39,767/x
  3. Step 3: Cross multiply
    122,873x = 184,338.75 × 39,767
  4. Step 4: Simplify right side
    122,873x = 7,330,599,071.25
  5. Step 5: Solve for x
    x = 7,330,599,071.25/122,873
  6. Step 6: Final answer
    x = 59,659.97

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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.