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Finding the Fourth Proportional to 140,138.88, 193,392.36 and 76,477.56

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Solution

The fourth proportional to 140,138.88, 193,392.36 and 76,477.56 is: 105,539.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,138.88 : 193,392.36 = 76,477.56 : x
  2. Step 2: Convert to fraction form
    140,138.88/193,392.36 = 76,477.56/x
  3. Step 3: Cross multiply
    140,138.88x = 193,392.36 × 76,477.56
  4. Step 4: Simplify right side
    140,138.88x = 14,790,175,815.44
  5. Step 5: Solve for x
    x = 14,790,175,815.44/140,138.88
  6. Step 6: Final answer
    x = 105,539.42

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