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Finding the Fourth Proportional to 123,190.74, 184,785.98 and 29,696.49

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Solution

The fourth proportional to 123,190.74, 184,785.98 and 29,696.49 is: 44,544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,190.74 : 184,785.98 = 29,696.49 : x
  2. Step 2: Convert to fraction form
    123,190.74/184,785.98 = 29,696.49/x
  3. Step 3: Cross multiply
    123,190.74x = 184,785.98 × 29,696.49
  4. Step 4: Simplify right side
    123,190.74x = 5,487,494,858.73
  5. Step 5: Solve for x
    x = 5,487,494,858.73/123,190.74
  6. Step 6: Final answer
    x = 44,544.70

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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.