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Finding the Fourth Proportional to 255,958.72, 383,383.96 and 166,942.16

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Solution

The fourth proportional to 255,958.72, 383,383.96 and 166,942.16 is: 250,051.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,958.72 : 383,383.96 = 166,942.16 : x
  2. Step 2: Convert to fraction form
    255,958.72/383,383.96 = 166,942.16/x
  3. Step 3: Cross multiply
    255,958.72x = 383,383.96 × 166,942.16
  4. Step 4: Simplify right side
    255,958.72x = 64,002,946,391.75
  5. Step 5: Solve for x
    x = 64,002,946,391.75/255,958.72
  6. Step 6: Final answer
    x = 250,051.83

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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.