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Finding the Fourth Proportional to 206,859.98, 285,495.57 and 116,222.99

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Solution

The fourth proportional to 206,859.98, 285,495.57 and 116,222.99 is: 160,403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,859.98 : 285,495.57 = 116,222.99 : x
  2. Step 2: Convert to fraction form
    206,859.98/285,495.57 = 116,222.99/x
  3. Step 3: Cross multiply
    206,859.98x = 285,495.57 × 116,222.99
  4. Step 4: Simplify right side
    206,859.98x = 33,181,147,349.68
  5. Step 5: Solve for x
    x = 33,181,147,349.68/206,859.98
  6. Step 6: Final answer
    x = 160,403.90

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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.