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Finding the Fourth Proportional to 202,823.40, 303,651.90 and 196,991.40

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Solution

The fourth proportional to 202,823.40, 303,651.90 and 196,991.40 is: 294,920.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,823.40 : 303,651.90 = 196,991.40 : x
  2. Step 2: Convert to fraction form
    202,823.40/303,651.90 = 196,991.40/x
  3. Step 3: Cross multiply
    202,823.40x = 303,651.90 × 196,991.40
  4. Step 4: Simplify right side
    202,823.40x = 59,816,812,893.66
  5. Step 5: Solve for x
    x = 59,816,812,893.66/202,823.40
  6. Step 6: Final answer
    x = 294,920.67

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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.