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Finding the Fourth Proportional to 204,735.44, 307,436.52 and 126,347.96

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Solution

The fourth proportional to 204,735.44, 307,436.52 and 126,347.96 is: 189,727.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,735.44 : 307,436.52 = 126,347.96 : x
  2. Step 2: Convert to fraction form
    204,735.44/307,436.52 = 126,347.96/x
  3. Step 3: Cross multiply
    204,735.44x = 307,436.52 × 126,347.96
  4. Step 4: Simplify right side
    204,735.44x = 38,843,977,131.50
  5. Step 5: Solve for x
    x = 38,843,977,131.50/204,735.44
  6. Step 6: Final answer
    x = 189,727.67

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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.