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Finding the Fourth Proportional to 206,122.44, 284,457.13 and 115,479.15

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Solution

The fourth proportional to 206,122.44, 284,457.13 and 115,479.15 is: 159,365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,122.44 : 284,457.13 = 115,479.15 : x
  2. Step 2: Convert to fraction form
    206,122.44/284,457.13 = 115,479.15/x
  3. Step 3: Cross multiply
    206,122.44x = 284,457.13 × 115,479.15
  4. Step 4: Simplify right side
    206,122.44x = 32,848,867,295.14
  5. Step 5: Solve for x
    x = 32,848,867,295.14/206,122.44
  6. Step 6: Final answer
    x = 159,365.80

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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.