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Finding the Fourth Proportional to 276,071.58, 414,106.83 and 76,391.42

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Solution

The fourth proportional to 276,071.58, 414,106.83 and 76,391.42 is: 114,586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,071.58 : 414,106.83 = 76,391.42 : x
  2. Step 2: Convert to fraction form
    276,071.58/414,106.83 = 76,391.42/x
  3. Step 3: Cross multiply
    276,071.58x = 414,106.83 × 76,391.42
  4. Step 4: Simplify right side
    276,071.58x = 31,634,206,704.86
  5. Step 5: Solve for x
    x = 31,634,206,704.86/276,071.58
  6. Step 6: Final answer
    x = 114,586.97

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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.