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Finding the Fourth Proportional to 194,694.85, 292,172.57 and 68,335.68

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Solution

The fourth proportional to 194,694.85, 292,172.57 and 68,335.68 is: 102,549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,694.85 : 292,172.57 = 68,335.68 : x
  2. Step 2: Convert to fraction form
    194,694.85/292,172.57 = 68,335.68/x
  3. Step 3: Cross multiply
    194,694.85x = 292,172.57 × 68,335.68
  4. Step 4: Simplify right side
    194,694.85x = 19,965,811,419.14
  5. Step 5: Solve for x
    x = 19,965,811,419.14/194,694.85
  6. Step 6: Final answer
    x = 102,549.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.