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Finding the Fourth Proportional to 123,163.84, 184,741.44 and 34,416.64

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Solution

The fourth proportional to 123,163.84, 184,741.44 and 34,416.64 is: 51,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,163.84 : 184,741.44 = 34,416.64 : x
  2. Step 2: Convert to fraction form
    123,163.84/184,741.44 = 34,416.64/x
  3. Step 3: Cross multiply
    123,163.84x = 184,741.44 × 34,416.64
  4. Step 4: Simplify right side
    123,163.84x = 6,358,179,633.56
  5. Step 5: Solve for x
    x = 6,358,179,633.56/123,163.84
  6. Step 6: Final answer
    x = 51,623.75

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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.