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Finding the Fourth Proportional to 140,914.58, 194,461.42 and 76,383.58

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Solution

The fourth proportional to 140,914.58, 194,461.42 and 76,383.58 is: 105,408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,914.58 : 194,461.42 = 76,383.58 : x
  2. Step 2: Convert to fraction form
    140,914.58/194,461.42 = 76,383.58/x
  3. Step 3: Cross multiply
    140,914.58x = 194,461.42 × 76,383.58
  4. Step 4: Simplify right side
    140,914.58x = 14,853,659,431.48
  5. Step 5: Solve for x
    x = 14,853,659,431.48/140,914.58
  6. Step 6: Final answer
    x = 105,408.96

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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.