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Finding the Fourth Proportional to 208,039.02, 311,938.11 and 81,531.42

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Solution

The fourth proportional to 208,039.02, 311,938.11 and 81,531.42 is: 122,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,039.02 : 311,938.11 = 81,531.42 : x
  2. Step 2: Convert to fraction form
    208,039.02/311,938.11 = 81,531.42/x
  3. Step 3: Cross multiply
    208,039.02x = 311,938.11 × 81,531.42
  4. Step 4: Simplify right side
    208,039.02x = 25,432,757,060.42
  5. Step 5: Solve for x
    x = 25,432,757,060.42/208,039.02
  6. Step 6: Final answer
    x = 122,249.94

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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.