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Finding the Fourth Proportional to 361,786.56, 542,684.44 and 137,086.62

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Solution

The fourth proportional to 361,786.56, 542,684.44 and 137,086.62 is: 205,631.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,786.56 : 542,684.44 = 137,086.62 : x
  2. Step 2: Convert to fraction form
    361,786.56/542,684.44 = 137,086.62/x
  3. Step 3: Cross multiply
    361,786.56x = 542,684.44 × 137,086.62
  4. Step 4: Simplify right side
    361,786.56x = 74,394,775,606.19
  5. Step 5: Solve for x
    x = 74,394,775,606.19/361,786.56
  6. Step 6: Final answer
    x = 205,631.67

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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.