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Finding the Fourth Proportional to 206,369.17, 309,554.16 and 56,611.51

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Solution

The fourth proportional to 206,369.17, 309,554.16 and 56,611.51 is: 84,917.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,369.17 : 309,554.16 = 56,611.51 : x
  2. Step 2: Convert to fraction form
    206,369.17/309,554.16 = 56,611.51/x
  3. Step 3: Cross multiply
    206,369.17x = 309,554.16 × 56,611.51
  4. Step 4: Simplify right side
    206,369.17x = 17,524,327,438.20
  5. Step 5: Solve for x
    x = 17,524,327,438.20/206,369.17
  6. Step 6: Final answer
    x = 84,917.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.