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Finding the Fourth Proportional to 276,039.67, 414,146.99 and 98,542.75

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Solution

The fourth proportional to 276,039.67, 414,146.99 and 98,542.75 is: 147,845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,039.67 : 414,146.99 = 98,542.75 : x
  2. Step 2: Convert to fraction form
    276,039.67/414,146.99 = 98,542.75/x
  3. Step 3: Cross multiply
    276,039.67x = 414,146.99 × 98,542.75
  4. Step 4: Simplify right side
    276,039.67x = 40,811,183,298.82
  5. Step 5: Solve for x
    x = 40,811,183,298.82/276,039.67
  6. Step 6: Final answer
    x = 147,845.36

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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.