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Finding the Fourth Proportional to 123,201.92, 184,825.67 and 38,983.28

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Solution

The fourth proportional to 123,201.92, 184,825.67 and 38,983.28 is: 58,482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,201.92 : 184,825.67 = 38,983.28 : x
  2. Step 2: Convert to fraction form
    123,201.92/184,825.67 = 38,983.28/x
  3. Step 3: Cross multiply
    123,201.92x = 184,825.67 × 38,983.28
  4. Step 4: Simplify right side
    123,201.92x = 7,205,109,725.75
  5. Step 5: Solve for x
    x = 7,205,109,725.75/123,201.92
  6. Step 6: Final answer
    x = 58,482.12

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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.