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Finding the Fourth Proportional to 189,286.60, 283,584.30 and 154,035.40

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Solution

The fourth proportional to 189,286.60, 283,584.30 and 154,035.40 is: 230,771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,286.60 : 283,584.30 = 154,035.40 : x
  2. Step 2: Convert to fraction form
    189,286.60/283,584.30 = 154,035.40/x
  3. Step 3: Cross multiply
    189,286.60x = 283,584.30 × 154,035.40
  4. Step 4: Simplify right side
    189,286.60x = 43,682,021,084.22
  5. Step 5: Solve for x
    x = 43,682,021,084.22/189,286.60
  6. Step 6: Final answer
    x = 230,771.86

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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.