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Finding the Fourth Proportional to 182,406.60, 273,610.81 and 82,449.77

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Solution

The fourth proportional to 182,406.60, 273,610.81 and 82,449.77 is: 123,675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,406.60 : 273,610.81 = 82,449.77 : x
  2. Step 2: Convert to fraction form
    182,406.60/273,610.81 = 82,449.77/x
  3. Step 3: Cross multiply
    182,406.60x = 273,610.81 × 82,449.77
  4. Step 4: Simplify right side
    182,406.60x = 22,559,147,089.02
  5. Step 5: Solve for x
    x = 22,559,147,089.02/182,406.60
  6. Step 6: Final answer
    x = 123,675.06

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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.