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Finding the Fourth Proportional to 155,993.82, 233,990.73 and 50,812.78

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Solution

The fourth proportional to 155,993.82, 233,990.73 and 50,812.78 is: 76,219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,993.82 : 233,990.73 = 50,812.78 : x
  2. Step 2: Convert to fraction form
    155,993.82/233,990.73 = 50,812.78/x
  3. Step 3: Cross multiply
    155,993.82x = 233,990.73 × 50,812.78
  4. Step 4: Simplify right side
    155,993.82x = 11,889,719,485.53
  5. Step 5: Solve for x
    x = 11,889,719,485.53/155,993.82
  6. Step 6: Final answer
    x = 76,219.17

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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.