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Finding the Fourth Proportional to 123,201.85, 184,825.56 and 38,983.21

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Solution

The fourth proportional to 123,201.85, 184,825.56 and 38,983.21 is: 58,482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,201.85 : 184,825.56 = 38,983.21 : x
  2. Step 2: Convert to fraction form
    123,201.85/184,825.56 = 38,983.21/x
  3. Step 3: Cross multiply
    123,201.85x = 184,825.56 × 38,983.21
  4. Step 4: Simplify right side
    123,201.85x = 7,205,093,618.85
  5. Step 5: Solve for x
    x = 7,205,093,618.85/123,201.85
  6. Step 6: Final answer
    x = 58,482.02

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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.