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Finding the Fourth Proportional to 206,557.36, 309,586.89 and 106,663.10

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Solution

The fourth proportional to 206,557.36, 309,586.89 and 106,663.10 is: 159,865.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,557.36 : 309,586.89 = 106,663.10 : x
  2. Step 2: Convert to fraction form
    206,557.36/309,586.89 = 106,663.10/x
  3. Step 3: Cross multiply
    206,557.36x = 309,586.89 × 106,663.10
  4. Step 4: Simplify right side
    206,557.36x = 33,021,496,258.81
  5. Step 5: Solve for x
    x = 33,021,496,258.81/206,557.36
  6. Step 6: Final answer
    x = 159,865.99

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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.