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Finding the Fourth Proportional to 159,436.29, 239,183.87 and 65,949.33

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Solution

The fourth proportional to 159,436.29, 239,183.87 and 65,949.33 is: 98,936.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,436.29 : 239,183.87 = 65,949.33 : x
  2. Step 2: Convert to fraction form
    159,436.29/239,183.87 = 65,949.33/x
  3. Step 3: Cross multiply
    159,436.29x = 239,183.87 × 65,949.33
  4. Step 4: Simplify right side
    159,436.29x = 15,774,015,643.56
  5. Step 5: Solve for x
    x = 15,774,015,643.56/159,436.29
  6. Step 6: Final answer
    x = 98,936.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.