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Finding the Fourth Proportional to 201,698.87, 302,408.24 and 89,317.85

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Solution

The fourth proportional to 201,698.87, 302,408.24 and 89,317.85 is: 133,914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,698.87 : 302,408.24 = 89,317.85 : x
  2. Step 2: Convert to fraction form
    201,698.87/302,408.24 = 89,317.85/x
  3. Step 3: Cross multiply
    201,698.87x = 302,408.24 × 89,317.85
  4. Step 4: Simplify right side
    201,698.87x = 27,010,451,860.45
  5. Step 5: Solve for x
    x = 27,010,451,860.45/201,698.87
  6. Step 6: Final answer
    x = 133,914.74

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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.