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Finding the Fourth Proportional to 184,171.76, 276,194.84 and 71,843.12

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Solution

The fourth proportional to 184,171.76, 276,194.84 and 71,843.12 is: 107,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,171.76 : 276,194.84 = 71,843.12 : x
  2. Step 2: Convert to fraction form
    184,171.76/276,194.84 = 71,843.12/x
  3. Step 3: Cross multiply
    184,171.76x = 276,194.84 × 71,843.12
  4. Step 4: Simplify right side
    184,171.76x = 19,842,699,033.50
  5. Step 5: Solve for x
    x = 19,842,699,033.50/184,171.76
  6. Step 6: Final answer
    x = 107,740.18

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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.