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Finding the Fourth Proportional to 213,252.96, 319,879.82 and 55,481.16

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Solution

The fourth proportional to 213,252.96, 319,879.82 and 55,481.16 is: 83,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,252.96 : 319,879.82 = 55,481.16 : x
  2. Step 2: Convert to fraction form
    213,252.96/319,879.82 = 55,481.16/x
  3. Step 3: Cross multiply
    213,252.96x = 319,879.82 × 55,481.16
  4. Step 4: Simplify right side
    213,252.96x = 17,747,303,474.19
  5. Step 5: Solve for x
    x = 17,747,303,474.19/213,252.96
  6. Step 6: Final answer
    x = 83,221.84

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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.