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Finding the Fourth Proportional to 224,473.86, 335,879.19 and 179,965.98

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Solution

The fourth proportional to 224,473.86, 335,879.19 and 179,965.98 is: 269,282.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,473.86 : 335,879.19 = 179,965.98 : x
  2. Step 2: Convert to fraction form
    224,473.86/335,879.19 = 179,965.98/x
  3. Step 3: Cross multiply
    224,473.86x = 335,879.19 × 179,965.98
  4. Step 4: Simplify right side
    224,473.86x = 60,446,827,589.96
  5. Step 5: Solve for x
    x = 60,446,827,589.96/224,473.86
  6. Step 6: Final answer
    x = 269,282.26

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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.