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Finding the Fourth Proportional to 188,540.64, 260,185.44 and 103,657.44

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Solution

The fourth proportional to 188,540.64, 260,185.44 and 103,657.44 is: 143,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,540.64 : 260,185.44 = 103,657.44 : x
  2. Step 2: Convert to fraction form
    188,540.64/260,185.44 = 103,657.44/x
  3. Step 3: Cross multiply
    188,540.64x = 260,185.44 × 103,657.44
  4. Step 4: Simplify right side
    188,540.64x = 26,970,156,635.67
  5. Step 5: Solve for x
    x = 26,970,156,635.67/188,540.64
  6. Step 6: Final answer
    x = 143,046.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.