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Finding the Fourth Proportional to 184,990.74, 255,287.94 and 100,107.84

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Solution

The fourth proportional to 184,990.74, 255,287.94 and 100,107.84 is: 138,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,990.74 : 255,287.94 = 100,107.84 : x
  2. Step 2: Convert to fraction form
    184,990.74/255,287.94 = 100,107.84/x
  3. Step 3: Cross multiply
    184,990.74x = 255,287.94 × 100,107.84
  4. Step 4: Simplify right side
    184,990.74x = 25,556,324,251.45
  5. Step 5: Solve for x
    x = 25,556,324,251.45/184,990.74
  6. Step 6: Final answer
    x = 138,149.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.