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Finding the Fourth Proportional to 201,409.26, 302,138.50 and 68,327.60

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Solution

The fourth proportional to 201,409.26, 302,138.50 and 68,327.60 is: 102,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,409.26 : 302,138.50 = 68,327.60 : x
  2. Step 2: Convert to fraction form
    201,409.26/302,138.50 = 68,327.60/x
  3. Step 3: Cross multiply
    201,409.26x = 302,138.50 × 68,327.60
  4. Step 4: Simplify right side
    201,409.26x = 20,644,398,572.60
  5. Step 5: Solve for x
    x = 20,644,398,572.60/201,409.26
  6. Step 6: Final answer
    x = 102,499.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.