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Finding the Fourth Proportional to 123,238.92, 184,881.24 and 39,020.40

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Solution

The fourth proportional to 123,238.92, 184,881.24 and 39,020.40 is: 58,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,238.92 : 184,881.24 = 39,020.40 : x
  2. Step 2: Convert to fraction form
    123,238.92/184,881.24 = 39,020.40/x
  3. Step 3: Cross multiply
    123,238.92x = 184,881.24 × 39,020.40
  4. Step 4: Simplify right side
    123,238.92x = 7,214,139,937.30
  5. Step 5: Solve for x
    x = 7,214,139,937.30/123,238.92
  6. Step 6: Final answer
    x = 58,537.84

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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.