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Finding the Fourth Proportional to 140,738.96, 194,220.06 and 76,208.90

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Solution

The fourth proportional to 140,738.96, 194,220.06 and 76,208.90 is: 105,168.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,738.96 : 194,220.06 = 76,208.90 : x
  2. Step 2: Convert to fraction form
    140,738.96/194,220.06 = 76,208.90/x
  3. Step 3: Cross multiply
    140,738.96x = 194,220.06 × 76,208.90
  4. Step 4: Simplify right side
    140,738.96x = 14,801,297,130.53
  5. Step 5: Solve for x
    x = 14,801,297,130.53/140,738.96
  6. Step 6: Final answer
    x = 105,168.44

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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.