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Finding the Fourth Proportional to 206,222.30, 309,333.21 and 56,463.74

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Solution

The fourth proportional to 206,222.30, 309,333.21 and 56,463.74 is: 84,695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,222.30 : 309,333.21 = 56,463.74 : x
  2. Step 2: Convert to fraction form
    206,222.30/309,333.21 = 56,463.74/x
  3. Step 3: Cross multiply
    206,222.30x = 309,333.21 × 56,463.74
  4. Step 4: Simplify right side
    206,222.30x = 17,466,109,942.81
  5. Step 5: Solve for x
    x = 17,466,109,942.81/206,222.30
  6. Step 6: Final answer
    x = 84,695.54

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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.