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Finding the Fourth Proportional to 276,073.83, 414,110.21 and 76,393.67

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Solution

The fourth proportional to 276,073.83, 414,110.21 and 76,393.67 is: 114,590.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,073.83 : 414,110.21 = 76,393.67 : x
  2. Step 2: Convert to fraction form
    276,073.83/414,110.21 = 76,393.67/x
  3. Step 3: Cross multiply
    276,073.83x = 414,110.21 × 76,393.67
  4. Step 4: Simplify right side
    276,073.83x = 31,635,396,273.85
  5. Step 5: Solve for x
    x = 31,635,396,273.85/276,073.83
  6. Step 6: Final answer
    x = 114,590.35

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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.