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Finding the Fourth Proportional to 194,736, 292,104 and 46,992

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Solution

The fourth proportional to 194,736, 292,104 and 46,992 is: 70,488

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,736 : 292,104 = 46,992 : x
  2. Step 2: Convert to fraction form
    194,736/292,104 = 46,992/x
  3. Step 3: Cross multiply
    194,736x = 292,104 × 46,992
  4. Step 4: Simplify right side
    194,736x = 13,726,551,168
  5. Step 5: Solve for x
    x = 13,726,551,168/194,736
  6. Step 6: Final answer
    x = 70,488

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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.