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Finding the Fourth Proportional to 276,218.92, 414,282.24 and 76,559.50

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Solution

The fourth proportional to 276,218.92, 414,282.24 and 76,559.50 is: 114,826.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,218.92 : 414,282.24 = 76,559.50 : x
  2. Step 2: Convert to fraction form
    276,218.92/414,282.24 = 76,559.50/x
  3. Step 3: Cross multiply
    276,218.92x = 414,282.24 × 76,559.50
  4. Step 4: Simplify right side
    276,218.92x = 31,717,241,153.28
  5. Step 5: Solve for x
    x = 31,717,241,153.28/276,218.92
  6. Step 6: Final answer
    x = 114,826.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.