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Finding the Fourth Proportional to 201,651.90, 302,477.85 and 149,163.90

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Solution

The fourth proportional to 201,651.90, 302,477.85 and 149,163.90 is: 223,745.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,651.90 : 302,477.85 = 149,163.90 : x
  2. Step 2: Convert to fraction form
    201,651.90/302,477.85 = 149,163.90/x
  3. Step 3: Cross multiply
    201,651.90x = 302,477.85 × 149,163.90
  4. Step 4: Simplify right side
    201,651.90x = 45,118,775,769.62
  5. Step 5: Solve for x
    x = 45,118,775,769.62/201,651.90
  6. Step 6: Final answer
    x = 223,745.85

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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.