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Finding the Fourth Proportional to 123,202.70, 184,804.05 and 110,736.80

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Solution

The fourth proportional to 123,202.70, 184,804.05 and 110,736.80 is: 166,105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,202.70 : 184,804.05 = 110,736.80 : x
  2. Step 2: Convert to fraction form
    123,202.70/184,804.05 = 110,736.80/x
  3. Step 3: Cross multiply
    123,202.70x = 184,804.05 × 110,736.80
  4. Step 4: Simplify right side
    123,202.70x = 20,464,609,124.04
  5. Step 5: Solve for x
    x = 20,464,609,124.04/123,202.70
  6. Step 6: Final answer
    x = 166,105.20

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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.