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Finding the Fourth Proportional to 276,040.92, 414,148.86 and 98,544

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Solution

The fourth proportional to 276,040.92, 414,148.86 and 98,544 is: 147,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,040.92 : 414,148.86 = 98,544 : x
  2. Step 2: Convert to fraction form
    276,040.92/414,148.86 = 98,544/x
  3. Step 3: Cross multiply
    276,040.92x = 414,148.86 × 98,544
  4. Step 4: Simplify right side
    276,040.92x = 40,811,885,259.84
  5. Step 5: Solve for x
    x = 40,811,885,259.84/276,040.92
  6. Step 6: Final answer
    x = 147,847.23

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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.