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Finding the Fourth Proportional to 276,033.80, 414,099.30 and 98,643.80

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Solution

The fourth proportional to 276,033.80, 414,099.30 and 98,643.80 is: 147,983.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,033.80 : 414,099.30 = 98,643.80 : x
  2. Step 2: Convert to fraction form
    276,033.80/414,099.30 = 98,643.80/x
  3. Step 3: Cross multiply
    276,033.80x = 414,099.30 × 98,643.80
  4. Step 4: Simplify right side
    276,033.80x = 40,848,328,529.34
  5. Step 5: Solve for x
    x = 40,848,328,529.34/276,033.80
  6. Step 6: Final answer
    x = 147,983.07

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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.