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Finding the Fourth Proportional to 140,561.46, 194,093.01 and 100,398.42

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Solution

The fourth proportional to 140,561.46, 194,093.01 and 100,398.42 is: 138,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,561.46 : 194,093.01 = 100,398.42 : x
  2. Step 2: Convert to fraction form
    140,561.46/194,093.01 = 100,398.42/x
  3. Step 3: Cross multiply
    140,561.46x = 194,093.01 × 100,398.42
  4. Step 4: Simplify right side
    140,561.46x = 19,486,631,537.04
  5. Step 5: Solve for x
    x = 19,486,631,537.04/140,561.46
  6. Step 6: Final answer
    x = 138,634.24

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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.