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Finding the Fourth Proportional to 223,794, 335,687.69 and 55,314.35

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Solution

The fourth proportional to 223,794, 335,687.69 and 55,314.35 is: 82,970.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,794 : 335,687.69 = 55,314.35 : x
  2. Step 2: Convert to fraction form
    223,794/335,687.69 = 55,314.35/x
  3. Step 3: Cross multiply
    223,794x = 335,687.69 × 55,314.35
  4. Step 4: Simplify right side
    223,794x = 18,568,344,835.20
  5. Step 5: Solve for x
    x = 18,568,344,835.20/223,794
  6. Step 6: Final answer
    x = 82,970.70

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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.