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Finding the Fourth Proportional to 137,584.22, 206,396.82 and 48,830.29

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Solution

The fourth proportional to 137,584.22, 206,396.82 and 48,830.29 is: 73,252.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,584.22 : 206,396.82 = 48,830.29 : x
  2. Step 2: Convert to fraction form
    137,584.22/206,396.82 = 48,830.29/x
  3. Step 3: Cross multiply
    137,584.22x = 206,396.82 × 48,830.29
  4. Step 4: Simplify right side
    137,584.22x = 10,078,416,059.69
  5. Step 5: Solve for x
    x = 10,078,416,059.69/137,584.22
  6. Step 6: Final answer
    x = 73,252.71

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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.