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Finding the Fourth Proportional to 123,251.56, 184,905.04 and 39,016.78

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Solution

The fourth proportional to 123,251.56, 184,905.04 and 39,016.78 is: 58,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,251.56 : 184,905.04 = 39,016.78 : x
  2. Step 2: Convert to fraction form
    123,251.56/184,905.04 = 39,016.78/x
  3. Step 3: Cross multiply
    123,251.56x = 184,905.04 × 39,016.78
  4. Step 4: Simplify right side
    123,251.56x = 7,214,398,146.96
  5. Step 5: Solve for x
    x = 7,214,398,146.96/123,251.56
  6. Step 6: Final answer
    x = 58,533.93

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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.