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Finding the Fourth Proportional to 206,338.46, 309,554.15 and 73,218.51

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Solution

The fourth proportional to 206,338.46, 309,554.15 and 73,218.51 is: 109,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,338.46 : 309,554.15 = 73,218.51 : x
  2. Step 2: Convert to fraction form
    206,338.46/309,554.15 = 73,218.51/x
  3. Step 3: Cross multiply
    206,338.46x = 309,554.15 × 73,218.51
  4. Step 4: Simplify right side
    206,338.46x = 22,665,093,261.22
  5. Step 5: Solve for x
    x = 22,665,093,261.22/206,338.46
  6. Step 6: Final answer
    x = 109,844.25

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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.