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Finding the Fourth Proportional to 200,814.34, 301,216.55 and 49,012.55

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Solution

The fourth proportional to 200,814.34, 301,216.55 and 49,012.55 is: 73,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,814.34 : 301,216.55 = 49,012.55 : x
  2. Step 2: Convert to fraction form
    200,814.34/301,216.55 = 49,012.55/x
  3. Step 3: Cross multiply
    200,814.34x = 301,216.55 × 49,012.55
  4. Step 4: Simplify right side
    200,814.34x = 14,763,389,466.56
  5. Step 5: Solve for x
    x = 14,763,389,466.56/200,814.34
  6. Step 6: Final answer
    x = 73,517.61

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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.