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Finding the Fourth Proportional to 201,194.96, 301,768.86 and 68,074.82

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Solution

The fourth proportional to 201,194.96, 301,768.86 and 68,074.82 is: 102,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,194.96 : 301,768.86 = 68,074.82 : x
  2. Step 2: Convert to fraction form
    201,194.96/301,768.86 = 68,074.82/x
  3. Step 3: Cross multiply
    201,194.96x = 301,768.86 × 68,074.82
  4. Step 4: Simplify right side
    201,194.96x = 20,542,860,826.11
  5. Step 5: Solve for x
    x = 20,542,860,826.11/201,194.96
  6. Step 6: Final answer
    x = 102,104.25

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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.