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Finding the Fourth Proportional to 206,381.44, 284,809.40 and 120,338.08

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Solution

The fourth proportional to 206,381.44, 284,809.40 and 120,338.08 is: 166,068.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,381.44 : 284,809.40 = 120,338.08 : x
  2. Step 2: Convert to fraction form
    206,381.44/284,809.40 = 120,338.08/x
  3. Step 3: Cross multiply
    206,381.44x = 284,809.40 × 120,338.08
  4. Step 4: Simplify right side
    206,381.44x = 34,273,416,361.95
  5. Step 5: Solve for x
    x = 34,273,416,361.95/206,381.44
  6. Step 6: Final answer
    x = 166,068.31

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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.