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Finding the Fourth Proportional to 204,767.44, 307,289.45 and 71,648.85

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Solution

The fourth proportional to 204,767.44, 307,289.45 and 71,648.85 is: 107,521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,767.44 : 307,289.45 = 71,648.85 : x
  2. Step 2: Convert to fraction form
    204,767.44/307,289.45 = 71,648.85/x
  3. Step 3: Cross multiply
    204,767.44x = 307,289.45 × 71,648.85
  4. Step 4: Simplify right side
    204,767.44x = 22,016,936,638.07
  5. Step 5: Solve for x
    x = 22,016,936,638.07/204,767.44
  6. Step 6: Final answer
    x = 107,521.67

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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.