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Finding the Fourth Proportional to 140,634.69, 194,076.39 and 76,103.93

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Solution

The fourth proportional to 140,634.69, 194,076.39 and 76,103.93 is: 105,023.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,634.69 : 194,076.39 = 76,103.93 : x
  2. Step 2: Convert to fraction form
    140,634.69/194,076.39 = 76,103.93/x
  3. Step 3: Cross multiply
    140,634.69x = 194,076.39 × 76,103.93
  4. Step 4: Simplify right side
    140,634.69x = 14,769,974,743.44
  5. Step 5: Solve for x
    x = 14,769,974,743.44/140,634.69
  6. Step 6: Final answer
    x = 105,023.69

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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.