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Finding the Fourth Proportional to 182,139, 273,183.88 and 49,027.24

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Solution

The fourth proportional to 182,139, 273,183.88 and 49,027.24 is: 73,534.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,139 : 273,183.88 = 49,027.24 : x
  2. Step 2: Convert to fraction form
    182,139/273,183.88 = 49,027.24/x
  3. Step 3: Cross multiply
    182,139x = 273,183.88 × 49,027.24
  4. Step 4: Simplify right side
    182,139x = 13,393,451,648.89
  5. Step 5: Solve for x
    x = 13,393,451,648.89/182,139
  6. Step 6: Final answer
    x = 73,534.23

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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.