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Finding the Fourth Proportional to 276,222.36, 414,333.66 and 110,127

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Solution

The fourth proportional to 276,222.36, 414,333.66 and 110,127 is: 165,190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,222.36 : 414,333.66 = 110,127 : x
  2. Step 2: Convert to fraction form
    276,222.36/414,333.66 = 110,127/x
  3. Step 3: Cross multiply
    276,222.36x = 414,333.66 × 110,127
  4. Step 4: Simplify right side
    276,222.36x = 45,629,322,974.82
  5. Step 5: Solve for x
    x = 45,629,322,974.82/276,222.36
  6. Step 6: Final answer
    x = 165,190.55

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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.