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Finding the Fourth Proportional to 189,977.82, 262,177.11 and 105,093.42

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Solution

The fourth proportional to 189,977.82, 262,177.11 and 105,093.42 is: 145,033.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,977.82 : 262,177.11 = 105,093.42 : x
  2. Step 2: Convert to fraction form
    189,977.82/262,177.11 = 105,093.42/x
  3. Step 3: Cross multiply
    189,977.82x = 262,177.11 × 105,093.42
  4. Step 4: Simplify right side
    189,977.82x = 27,553,089,135.62
  5. Step 5: Solve for x
    x = 27,553,089,135.62/189,977.82
  6. Step 6: Final answer
    x = 145,033.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.