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Finding the Fourth Proportional to 140,803.64, 194,314.38 and 80,384.12

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Solution

The fourth proportional to 140,803.64, 194,314.38 and 80,384.12 is: 110,933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,803.64 : 194,314.38 = 80,384.12 : x
  2. Step 2: Convert to fraction form
    140,803.64/194,314.38 = 80,384.12/x
  3. Step 3: Cross multiply
    140,803.64x = 194,314.38 × 80,384.12
  4. Step 4: Simplify right side
    140,803.64x = 15,619,790,439.65
  5. Step 5: Solve for x
    x = 15,619,790,439.65/140,803.64
  6. Step 6: Final answer
    x = 110,933.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.