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Finding the Fourth Proportional to 140,538.29, 194,036.39 and 83,196.05

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Solution

The fourth proportional to 140,538.29, 194,036.39 and 83,196.05 is: 114,865.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,538.29 : 194,036.39 = 83,196.05 : x
  2. Step 2: Convert to fraction form
    140,538.29/194,036.39 = 83,196.05/x
  3. Step 3: Cross multiply
    140,538.29x = 194,036.39 × 83,196.05
  4. Step 4: Simplify right side
    140,538.29x = 16,143,061,273.37
  5. Step 5: Solve for x
    x = 16,143,061,273.37/140,538.29
  6. Step 6: Final answer
    x = 114,865.93

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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.