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Finding the Fourth Proportional to 202,140.90, 303,247.80 and 83,824.20

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Solution

The fourth proportional to 202,140.90, 303,247.80 and 83,824.20 is: 125,751.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,140.90 : 303,247.80 = 83,824.20 : x
  2. Step 2: Convert to fraction form
    202,140.90/303,247.80 = 83,824.20/x
  3. Step 3: Cross multiply
    202,140.90x = 303,247.80 × 83,824.20
  4. Step 4: Simplify right side
    202,140.90x = 25,419,504,236.76
  5. Step 5: Solve for x
    x = 25,419,504,236.76/202,140.90
  6. Step 6: Final answer
    x = 125,751.42

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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.