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Finding the Fourth Proportional to 123,448.34, 184,856.22 and 85,444.97

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Solution

The fourth proportional to 123,448.34, 184,856.22 and 85,444.97 is: 127,948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,448.34 : 184,856.22 = 85,444.97 : x
  2. Step 2: Convert to fraction form
    123,448.34/184,856.22 = 85,444.97/x
  3. Step 3: Cross multiply
    123,448.34x = 184,856.22 × 85,444.97
  4. Step 4: Simplify right side
    123,448.34x = 15,795,033,247.93
  5. Step 5: Solve for x
    x = 15,795,033,247.93/123,448.34
  6. Step 6: Final answer
    x = 127,948.53

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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.