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Finding the Fourth Proportional to 206,370.68, 309,556.41 and 56,613.02

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Solution

The fourth proportional to 206,370.68, 309,556.41 and 56,613.02 is: 84,919.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,370.68 : 309,556.41 = 56,613.02 : x
  2. Step 2: Convert to fraction form
    206,370.68/309,556.41 = 56,613.02/x
  3. Step 3: Cross multiply
    206,370.68x = 309,556.41 × 56,613.02
  4. Step 4: Simplify right side
    206,370.68x = 17,524,921,682.68
  5. Step 5: Solve for x
    x = 17,524,921,682.68/206,370.68
  6. Step 6: Final answer
    x = 84,919.63

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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.