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Finding the Fourth Proportional to 194,006.88, 267,733.08 and 107,973

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Solution

The fourth proportional to 194,006.88, 267,733.08 and 107,973 is: 149,004.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,006.88 : 267,733.08 = 107,973 : x
  2. Step 2: Convert to fraction form
    194,006.88/267,733.08 = 107,973/x
  3. Step 3: Cross multiply
    194,006.88x = 267,733.08 × 107,973
  4. Step 4: Simplify right side
    194,006.88x = 28,907,943,846.84
  5. Step 5: Solve for x
    x = 28,907,943,846.84/194,006.88
  6. Step 6: Final answer
    x = 149,004.74

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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.