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Finding the Fourth Proportional to 286,771.55, 395,764.09 and 189,808.38

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Solution

The fourth proportional to 286,771.55, 395,764.09 and 189,808.38 is: 261,948.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,771.55 : 395,764.09 = 189,808.38 : x
  2. Step 2: Convert to fraction form
    286,771.55/395,764.09 = 189,808.38/x
  3. Step 3: Cross multiply
    286,771.55x = 395,764.09 × 189,808.38
  4. Step 4: Simplify right side
    286,771.55x = 75,119,340,310.55
  5. Step 5: Solve for x
    x = 75,119,340,310.55/286,771.55
  6. Step 6: Final answer
    x = 261,948.38

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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.