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Finding the Fourth Proportional to 123,071.78, 184,611.72 and 34,317.79

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Solution

The fourth proportional to 123,071.78, 184,611.72 and 34,317.79 is: 51,477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,071.78 : 184,611.72 = 34,317.79 : x
  2. Step 2: Convert to fraction form
    123,071.78/184,611.72 = 34,317.79/x
  3. Step 3: Cross multiply
    123,071.78x = 184,611.72 × 34,317.79
  4. Step 4: Simplify right side
    123,071.78x = 6,335,466,238.50
  5. Step 5: Solve for x
    x = 6,335,466,238.50/123,071.78
  6. Step 6: Final answer
    x = 51,477.81

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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.