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Finding the Fourth Proportional to 140,076.84, 194,123.82 and 137,418.60

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Solution

The fourth proportional to 140,076.84, 194,123.82 and 137,418.60 is: 190,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,076.84 : 194,123.82 = 137,418.60 : x
  2. Step 2: Convert to fraction form
    140,076.84/194,123.82 = 137,418.60/x
  3. Step 3: Cross multiply
    140,076.84x = 194,123.82 × 137,418.60
  4. Step 4: Simplify right side
    140,076.84x = 26,676,223,571.05
  5. Step 5: Solve for x
    x = 26,676,223,571.05/140,076.84
  6. Step 6: Final answer
    x = 190,439.93

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.