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Finding the Fourth Proportional to 123,102.87, 184,585.02 and 38,847.33

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Solution

The fourth proportional to 123,102.87, 184,585.02 and 38,847.33 is: 58,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,102.87 : 184,585.02 = 38,847.33 : x
  2. Step 2: Convert to fraction form
    123,102.87/184,585.02 = 38,847.33/x
  3. Step 3: Cross multiply
    123,102.87x = 184,585.02 × 38,847.33
  4. Step 4: Simplify right side
    123,102.87x = 7,170,635,185.00
  5. Step 5: Solve for x
    x = 7,170,635,185.00/123,102.87
  6. Step 6: Final answer
    x = 58,249.13

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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.