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Finding the Fourth Proportional to 206,019.50, 309,053.75 and 72,872.51

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Solution

The fourth proportional to 206,019.50, 309,053.75 and 72,872.51 is: 109,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,019.50 : 309,053.75 = 72,872.51 : x
  2. Step 2: Convert to fraction form
    206,019.50/309,053.75 = 72,872.51/x
  3. Step 3: Cross multiply
    206,019.50x = 309,053.75 × 72,872.51
  4. Step 4: Simplify right side
    206,019.50x = 22,521,520,577.78
  5. Step 5: Solve for x
    x = 22,521,520,577.78/206,019.50
  6. Step 6: Final answer
    x = 109,317.42

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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.