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Finding the Fourth Proportional to 206,190.89, 309,274.92 and 56,420.42

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Solution

The fourth proportional to 206,190.89, 309,274.92 and 56,420.42 is: 84,627.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,190.89 : 309,274.92 = 56,420.42 : x
  2. Step 2: Convert to fraction form
    206,190.89/309,274.92 = 56,420.42/x
  3. Step 3: Cross multiply
    206,190.89x = 309,274.92 × 56,420.42
  4. Step 4: Simplify right side
    206,190.89x = 17,449,421,655.05
  5. Step 5: Solve for x
    x = 17,449,421,655.05/206,190.89
  6. Step 6: Final answer
    x = 84,627.51

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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.