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Finding the Fourth Proportional to 217,436.40, 325,847.40 and 160,834.80

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Solution

The fourth proportional to 217,436.40, 325,847.40 and 160,834.80 is: 241,024.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,436.40 : 325,847.40 = 160,834.80 : x
  2. Step 2: Convert to fraction form
    217,436.40/325,847.40 = 160,834.80/x
  3. Step 3: Cross multiply
    217,436.40x = 325,847.40 × 160,834.80
  4. Step 4: Simplify right side
    217,436.40x = 52,407,601,409.52
  5. Step 5: Solve for x
    x = 52,407,601,409.52/217,436.40
  6. Step 6: Final answer
    x = 241,024.97

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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.