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Finding the Fourth Proportional to 202,188, 303,269.24 and 78,961.48

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Solution

The fourth proportional to 202,188, 303,269.24 and 78,961.48 is: 118,437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,188 : 303,269.24 = 78,961.48 : x
  2. Step 2: Convert to fraction form
    202,188/303,269.24 = 78,961.48/x
  3. Step 3: Cross multiply
    202,188x = 303,269.24 × 78,961.48
  4. Step 4: Simplify right side
    202,188x = 23,946,588,028.88
  5. Step 5: Solve for x
    x = 23,946,588,028.88/202,188
  6. Step 6: Final answer
    x = 118,437.24

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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.