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Finding the Fourth Proportional to 276,139.94, 414,296.91 and 98,643.02

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Solution

The fourth proportional to 276,139.94, 414,296.91 and 98,643.02 is: 147,995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,139.94 : 414,296.91 = 98,643.02 : x
  2. Step 2: Convert to fraction form
    276,139.94/414,296.91 = 98,643.02/x
  3. Step 3: Cross multiply
    276,139.94x = 414,296.91 × 98,643.02
  4. Step 4: Simplify right side
    276,139.94x = 40,867,498,379.07
  5. Step 5: Solve for x
    x = 40,867,498,379.07/276,139.94
  6. Step 6: Final answer
    x = 147,995.61

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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.