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Finding the Fourth Proportional to 140,653.14, 194,106.69 and 80,233.62

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Solution

The fourth proportional to 140,653.14, 194,106.69 and 80,233.62 is: 110,725.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,653.14 : 194,106.69 = 80,233.62 : x
  2. Step 2: Convert to fraction form
    140,653.14/194,106.69 = 80,233.62/x
  3. Step 3: Cross multiply
    140,653.14x = 194,106.69 × 80,233.62
  4. Step 4: Simplify right side
    140,653.14x = 15,573,882,404.92
  5. Step 5: Solve for x
    x = 15,573,882,404.92/140,653.14
  6. Step 6: Final answer
    x = 110,725.45

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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.