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Finding the Fourth Proportional to 123,190.56, 184,785.84 and 29,696.40

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Solution

The fourth proportional to 123,190.56, 184,785.84 and 29,696.40 is: 44,544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,190.56 : 184,785.84 = 29,696.40 : x
  2. Step 2: Convert to fraction form
    123,190.56/184,785.84 = 29,696.40/x
  3. Step 3: Cross multiply
    123,190.56x = 184,785.84 × 29,696.40
  4. Step 4: Simplify right side
    123,190.56x = 5,487,474,218.98
  5. Step 5: Solve for x
    x = 5,487,474,218.98/123,190.56
  6. Step 6: Final answer
    x = 44,544.60

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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.