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Finding the Fourth Proportional to 206,333.44, 284,635.34 and 134,755.36

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Solution

The fourth proportional to 206,333.44, 284,635.34 and 134,755.36 is: 185,893.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,333.44 : 284,635.34 = 134,755.36 : x
  2. Step 2: Convert to fraction form
    206,333.44/284,635.34 = 134,755.36/x
  3. Step 3: Cross multiply
    206,333.44x = 284,635.34 × 134,755.36
  4. Step 4: Simplify right side
    206,333.44x = 38,356,137,710.42
  5. Step 5: Solve for x
    x = 38,356,137,710.42/206,333.44
  6. Step 6: Final answer
    x = 185,893.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.