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Finding the Fourth Proportional to 206,525.34, 309,791.43 and 56,764.71

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Solution

The fourth proportional to 206,525.34, 309,791.43 and 56,764.71 is: 85,148.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,525.34 : 309,791.43 = 56,764.71 : x
  2. Step 2: Convert to fraction form
    206,525.34/309,791.43 = 56,764.71/x
  3. Step 3: Cross multiply
    206,525.34x = 309,791.43 × 56,764.71
  4. Step 4: Simplify right side
    206,525.34x = 17,585,220,684.44
  5. Step 5: Solve for x
    x = 17,585,220,684.44/206,525.34
  6. Step 6: Final answer
    x = 85,148.01

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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.