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Finding the Fourth Proportional to 276,137.44, 414,293.10 and 98,640.52

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Solution

The fourth proportional to 276,137.44, 414,293.10 and 98,640.52 is: 147,991.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,137.44 : 414,293.10 = 98,640.52 : x
  2. Step 2: Convert to fraction form
    276,137.44/414,293.10 = 98,640.52/x
  3. Step 3: Cross multiply
    276,137.44x = 414,293.10 × 98,640.52
  4. Step 4: Simplify right side
    276,137.44x = 40,866,086,816.41
  5. Step 5: Solve for x
    x = 40,866,086,816.41/276,137.44
  6. Step 6: Final answer
    x = 147,991.84

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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.