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Finding the Fourth Proportional to 194,744, 292,116 and 47,000

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Solution

The fourth proportional to 194,744, 292,116 and 47,000 is: 70,500

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,744 : 292,116 = 47,000 : x
  2. Step 2: Convert to fraction form
    194,744/292,116 = 47,000/x
  3. Step 3: Cross multiply
    194,744x = 292,116 × 47,000
  4. Step 4: Simplify right side
    194,744x = 13,729,452,000
  5. Step 5: Solve for x
    x = 13,729,452,000/194,744
  6. Step 6: Final answer
    x = 70,500

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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.