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Finding the Fourth Proportional to 276,022.17, 414,120.78 and 98,525.25

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Solution

The fourth proportional to 276,022.17, 414,120.78 and 98,525.25 is: 147,819.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,022.17 : 414,120.78 = 98,525.25 : x
  2. Step 2: Convert to fraction form
    276,022.17/414,120.78 = 98,525.25/x
  3. Step 3: Cross multiply
    276,022.17x = 414,120.78 × 98,525.25
  4. Step 4: Simplify right side
    276,022.17x = 40,801,353,379.70
  5. Step 5: Solve for x
    x = 40,801,353,379.70/276,022.17
  6. Step 6: Final answer
    x = 147,819.12

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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.