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Finding the Fourth Proportional to 206,860.41, 285,471.69 and 116,222.22

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Solution

The fourth proportional to 206,860.41, 285,471.69 and 116,222.22 is: 160,389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,860.41 : 285,471.69 = 116,222.22 : x
  2. Step 2: Convert to fraction form
    206,860.41/285,471.69 = 116,222.22/x
  3. Step 3: Cross multiply
    206,860.41x = 285,471.69 × 116,222.22
  4. Step 4: Simplify right side
    206,860.41x = 33,178,153,558.95
  5. Step 5: Solve for x
    x = 33,178,153,558.95/206,860.41
  6. Step 6: Final answer
    x = 160,389.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.