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Finding the Fourth Proportional to 213,494.33, 320,230.56 and 63,735.86

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Solution

The fourth proportional to 213,494.33, 320,230.56 and 63,735.86 is: 95,600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,494.33 : 320,230.56 = 63,735.86 : x
  2. Step 2: Convert to fraction form
    213,494.33/320,230.56 = 63,735.86/x
  3. Step 3: Cross multiply
    213,494.33x = 320,230.56 × 63,735.86
  4. Step 4: Simplify right side
    213,494.33x = 20,410,168,538.73
  5. Step 5: Solve for x
    x = 20,410,168,538.73/213,494.33
  6. Step 6: Final answer
    x = 95,600.52

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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.