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Finding the Fourth Proportional to 194,995.56, 292,524.28 and 82,676.28

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Solution

The fourth proportional to 194,995.56, 292,524.28 and 82,676.28 is: 124,027.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,995.56 : 292,524.28 = 82,676.28 : x
  2. Step 2: Convert to fraction form
    194,995.56/292,524.28 = 82,676.28/x
  3. Step 3: Cross multiply
    194,995.56x = 292,524.28 × 82,676.28
  4. Step 4: Simplify right side
    194,995.56x = 24,184,819,280.08
  5. Step 5: Solve for x
    x = 24,184,819,280.08/194,995.56
  6. Step 6: Final answer
    x = 124,027.54

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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.