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Finding the Fourth Proportional to 206,458.34, 309,718.29 and 73,327.43

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Solution

The fourth proportional to 206,458.34, 309,718.29 and 73,327.43 is: 110,002.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,458.34 : 309,718.29 = 73,327.43 : x
  2. Step 2: Convert to fraction form
    206,458.34/309,718.29 = 73,327.43/x
  3. Step 3: Cross multiply
    206,458.34x = 309,718.29 × 73,327.43
  4. Step 4: Simplify right side
    206,458.34x = 22,710,846,229.69
  5. Step 5: Solve for x
    x = 22,710,846,229.69/206,458.34
  6. Step 6: Final answer
    x = 110,002.08

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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.