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Finding the Fourth Proportional to 194,007.88, 267,734.46 and 107,974

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Solution

The fourth proportional to 194,007.88, 267,734.46 and 107,974 is: 149,006.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,007.88 : 267,734.46 = 107,974 : x
  2. Step 2: Convert to fraction form
    194,007.88/267,734.46 = 107,974/x
  3. Step 3: Cross multiply
    194,007.88x = 267,734.46 × 107,974
  4. Step 4: Simplify right side
    194,007.88x = 28,908,360,584.04
  5. Step 5: Solve for x
    x = 28,908,360,584.04/194,007.88
  6. Step 6: Final answer
    x = 149,006.12

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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.