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Finding the Fourth Proportional to 189,846.99, 285,213.42 and 111,016.71

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Solution

The fourth proportional to 189,846.99, 285,213.42 and 111,016.71 is: 166,784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,846.99 : 285,213.42 = 111,016.71 : x
  2. Step 2: Convert to fraction form
    189,846.99/285,213.42 = 111,016.71/x
  3. Step 3: Cross multiply
    189,846.99x = 285,213.42 × 111,016.71
  4. Step 4: Simplify right side
    189,846.99x = 31,663,455,536.25
  5. Step 5: Solve for x
    x = 31,663,455,536.25/189,846.99
  6. Step 6: Final answer
    x = 166,784.08

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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.