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Finding the Fourth Proportional to 140,698.89, 194,163.01 and 76,167

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Solution

The fourth proportional to 140,698.89, 194,163.01 and 76,167 is: 105,109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,698.89 : 194,163.01 = 76,167 : x
  2. Step 2: Convert to fraction form
    140,698.89/194,163.01 = 76,167/x
  3. Step 3: Cross multiply
    140,698.89x = 194,163.01 × 76,167
  4. Step 4: Simplify right side
    140,698.89x = 14,788,813,792.25
  5. Step 5: Solve for x
    x = 14,788,813,792.25/140,698.89
  6. Step 6: Final answer
    x = 105,109.67

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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.