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Finding the Fourth Proportional to 276,370.92, 414,643.86 and 98,874

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Solution

The fourth proportional to 276,370.92, 414,643.86 and 98,874 is: 148,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,370.92 : 414,643.86 = 98,874 : x
  2. Step 2: Convert to fraction form
    276,370.92/414,643.86 = 98,874/x
  3. Step 3: Cross multiply
    276,370.92x = 414,643.86 × 98,874
  4. Step 4: Simplify right side
    276,370.92x = 40,997,497,013.64
  5. Step 5: Solve for x
    x = 40,997,497,013.64/276,370.92
  6. Step 6: Final answer
    x = 148,342.30

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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.