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Finding the Fourth Proportional to 276,729.94, 414,817.75 and 108,018.28

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Solution

The fourth proportional to 276,729.94, 414,817.75 and 108,018.28 is: 161,919.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,729.94 : 414,817.75 = 108,018.28 : x
  2. Step 2: Convert to fraction form
    276,729.94/414,817.75 = 108,018.28/x
  3. Step 3: Cross multiply
    276,729.94x = 414,817.75 × 108,018.28
  4. Step 4: Simplify right side
    276,729.94x = 44,807,899,868.47
  5. Step 5: Solve for x
    x = 44,807,899,868.47/276,729.94
  6. Step 6: Final answer
    x = 161,919.23

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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.