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Finding the Fourth Proportional to 276,586.56, 414,879.84 and 158,174.82

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Solution

The fourth proportional to 276,586.56, 414,879.84 and 158,174.82 is: 237,262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,586.56 : 414,879.84 = 158,174.82 : x
  2. Step 2: Convert to fraction form
    276,586.56/414,879.84 = 158,174.82/x
  3. Step 3: Cross multiply
    276,586.56x = 414,879.84 × 158,174.82
  4. Step 4: Simplify right side
    276,586.56x = 65,623,544,013.63
  5. Step 5: Solve for x
    x = 65,623,544,013.63/276,586.56
  6. Step 6: Final answer
    x = 237,262.23

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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.