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Finding the Fourth Proportional to 202,197.70, 303,418.05 and 83,856.70

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Solution

The fourth proportional to 202,197.70, 303,418.05 and 83,856.70 is: 125,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,197.70 : 303,418.05 = 83,856.70 : x
  2. Step 2: Convert to fraction form
    202,197.70/303,418.05 = 83,856.70/x
  3. Step 3: Cross multiply
    202,197.70x = 303,418.05 × 83,856.70
  4. Step 4: Simplify right side
    202,197.70x = 25,443,636,393.44
  5. Step 5: Solve for x
    x = 25,443,636,393.44/202,197.70
  6. Step 6: Final answer
    x = 125,835.44

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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.