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Finding the Fourth Proportional to 206,558.36, 309,588.39 and 106,664.10

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Solution

The fourth proportional to 206,558.36, 309,588.39 and 106,664.10 is: 159,867.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,558.36 : 309,588.39 = 106,664.10 : x
  2. Step 2: Convert to fraction form
    206,558.36/309,588.39 = 106,664.10/x
  3. Step 3: Cross multiply
    206,558.36x = 309,588.39 × 106,664.10
  4. Step 4: Simplify right side
    206,558.36x = 33,021,966,989.80
  5. Step 5: Solve for x
    x = 33,021,966,989.80/206,558.36
  6. Step 6: Final answer
    x = 159,867.49

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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.