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Finding the Fourth Proportional to 194,992.56, 292,466.16 and 54,763.20

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Solution

The fourth proportional to 194,992.56, 292,466.16 and 54,763.20 is: 82,138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,992.56 : 292,466.16 = 54,763.20 : x
  2. Step 2: Convert to fraction form
    194,992.56/292,466.16 = 54,763.20/x
  3. Step 3: Cross multiply
    194,992.56x = 292,466.16 × 54,763.20
  4. Step 4: Simplify right side
    194,992.56x = 16,016,382,813.31
  5. Step 5: Solve for x
    x = 16,016,382,813.31/194,992.56
  6. Step 6: Final answer
    x = 82,138.43

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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.