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Finding the Fourth Proportional to 123,239.92, 184,882.74 and 39,021.40

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Solution

The fourth proportional to 123,239.92, 184,882.74 and 39,021.40 is: 58,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,239.92 : 184,882.74 = 39,021.40 : x
  2. Step 2: Convert to fraction form
    123,239.92/184,882.74 = 39,021.40/x
  3. Step 3: Cross multiply
    123,239.92x = 184,882.74 × 39,021.40
  4. Step 4: Simplify right side
    123,239.92x = 7,214,383,350.64
  5. Step 5: Solve for x
    x = 7,214,383,350.64/123,239.92
  6. Step 6: Final answer
    x = 58,539.34

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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.