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Finding the Fourth Proportional to 138,970, 208,452.80 and 44,198.82

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Solution

The fourth proportional to 138,970, 208,452.80 and 44,198.82 is: 66,297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,970 : 208,452.80 = 44,198.82 : x
  2. Step 2: Convert to fraction form
    138,970/208,452.80 = 44,198.82/x
  3. Step 3: Cross multiply
    138,970x = 208,452.80 × 44,198.82
  4. Step 4: Simplify right side
    138,970x = 9,213,366,522.44
  5. Step 5: Solve for x
    x = 9,213,366,522.44/138,970
  6. Step 6: Final answer
    x = 66,297.52

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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.