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Finding the Fourth Proportional to 202,236.24, 303,224.76 and 83,989.20

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Solution

The fourth proportional to 202,236.24, 303,224.76 and 83,989.20 is: 125,929.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,236.24 : 303,224.76 = 83,989.20 : x
  2. Step 2: Convert to fraction form
    202,236.24/303,224.76 = 83,989.20/x
  3. Step 3: Cross multiply
    202,236.24x = 303,224.76 × 83,989.20
  4. Step 4: Simplify right side
    202,236.24x = 25,467,605,012.59
  5. Step 5: Solve for x
    x = 25,467,605,012.59/202,236.24
  6. Step 6: Final answer
    x = 125,929.98

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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.