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Finding the Fourth Proportional to 189,195.89, 282,408.66 and 166,776.71

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Solution

The fourth proportional to 189,195.89, 282,408.66 and 166,776.71 is: 248,944.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,195.89 : 282,408.66 = 166,776.71 : x
  2. Step 2: Convert to fraction form
    189,195.89/282,408.66 = 166,776.71/x
  3. Step 3: Cross multiply
    189,195.89x = 282,408.66 × 166,776.71
  4. Step 4: Simplify right side
    189,195.89x = 47,099,185,778.27
  5. Step 5: Solve for x
    x = 47,099,185,778.27/189,195.89
  6. Step 6: Final answer
    x = 248,944.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.