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Finding the Fourth Proportional to 184,732.73, 277,202.87 and 100,498.78

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Solution

The fourth proportional to 184,732.73, 277,202.87 and 100,498.78 is: 150,804.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,732.73 : 277,202.87 = 100,498.78 : x
  2. Step 2: Convert to fraction form
    184,732.73/277,202.87 = 100,498.78/x
  3. Step 3: Cross multiply
    184,732.73x = 277,202.87 × 100,498.78
  4. Step 4: Simplify right side
    184,732.73x = 27,858,550,247.50
  5. Step 5: Solve for x
    x = 27,858,550,247.50/184,732.73
  6. Step 6: Final answer
    x = 150,804.63

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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.