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Finding the Fourth Proportional to 276,205.70, 414,262.42 and 76,546.26

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Solution

The fourth proportional to 276,205.70, 414,262.42 and 76,546.26 is: 114,806.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,205.70 : 414,262.42 = 76,546.26 : x
  2. Step 2: Convert to fraction form
    276,205.70/414,262.42 = 76,546.26/x
  3. Step 3: Cross multiply
    276,205.70x = 414,262.42 × 76,546.26
  4. Step 4: Simplify right side
    276,205.70x = 31,710,238,718.18
  5. Step 5: Solve for x
    x = 31,710,238,718.18/276,205.70
  6. Step 6: Final answer
    x = 114,806.60

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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.