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Finding the Fourth Proportional to 140,914.74, 194,456.22 and 84,357.30

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Solution

The fourth proportional to 140,914.74, 194,456.22 and 84,357.30 is: 116,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,914.74 : 194,456.22 = 84,357.30 : x
  2. Step 2: Convert to fraction form
    140,914.74/194,456.22 = 84,357.30/x
  3. Step 3: Cross multiply
    140,914.74x = 194,456.22 × 84,357.30
  4. Step 4: Simplify right side
    140,914.74x = 16,403,801,687.41
  5. Step 5: Solve for x
    x = 16,403,801,687.41/140,914.74
  6. Step 6: Final answer
    x = 116,409.41

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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.