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Finding the Fourth Proportional to 213,091.74, 319,582.26 and 63,296.82

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Solution

The fourth proportional to 213,091.74, 319,582.26 and 63,296.82 is: 94,928.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,091.74 : 319,582.26 = 63,296.82 : x
  2. Step 2: Convert to fraction form
    213,091.74/319,582.26 = 63,296.82/x
  3. Step 3: Cross multiply
    213,091.74x = 319,582.26 × 63,296.82
  4. Step 4: Simplify right side
    213,091.74x = 20,228,540,786.41
  5. Step 5: Solve for x
    x = 20,228,540,786.41/213,091.74
  6. Step 6: Final answer
    x = 94,928.79

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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.