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Finding the Fourth Proportional to 206,051.84, 309,122.16 and 63,894.26

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Solution

The fourth proportional to 206,051.84, 309,122.16 and 63,894.26 is: 95,855.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,051.84 : 309,122.16 = 63,894.26 : x
  2. Step 2: Convert to fraction form
    206,051.84/309,122.16 = 63,894.26/x
  3. Step 3: Cross multiply
    206,051.84x = 309,122.16 × 63,894.26
  4. Step 4: Simplify right side
    206,051.84x = 19,751,131,662.80
  5. Step 5: Solve for x
    x = 19,751,131,662.80/206,051.84
  6. Step 6: Final answer
    x = 95,855.16

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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.