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Finding the Fourth Proportional to 276,351.94, 414,527.91 and 76,672.36

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Solution

The fourth proportional to 276,351.94, 414,527.91 and 76,672.36 is: 115,008.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,351.94 : 414,527.91 = 76,672.36 : x
  2. Step 2: Convert to fraction form
    276,351.94/414,527.91 = 76,672.36/x
  3. Step 3: Cross multiply
    276,351.94x = 414,527.91 × 76,672.36
  4. Step 4: Simplify right side
    276,351.94x = 31,782,833,145.57
  5. Step 5: Solve for x
    x = 31,782,833,145.57/276,351.94
  6. Step 6: Final answer
    x = 115,008.54

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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.