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Finding the Fourth Proportional to 276,136.44, 414,291.60 and 98,639.52

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Solution

The fourth proportional to 276,136.44, 414,291.60 and 98,639.52 is: 147,990.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,136.44 : 414,291.60 = 98,639.52 : x
  2. Step 2: Convert to fraction form
    276,136.44/414,291.60 = 98,639.52/x
  3. Step 3: Cross multiply
    276,136.44x = 414,291.60 × 98,639.52
  4. Step 4: Simplify right side
    276,136.44x = 40,865,524,564.03
  5. Step 5: Solve for x
    x = 40,865,524,564.03/276,136.44
  6. Step 6: Final answer
    x = 147,990.34

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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.