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Finding the Fourth Proportional to 194,576.58, 291,977.40 and 82,249.52

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Solution

The fourth proportional to 194,576.58, 291,977.40 and 82,249.52 is: 123,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,576.58 : 291,977.40 = 82,249.52 : x
  2. Step 2: Convert to fraction form
    194,576.58/291,977.40 = 82,249.52/x
  3. Step 3: Cross multiply
    194,576.58x = 291,977.40 × 82,249.52
  4. Step 4: Simplify right side
    194,576.58x = 24,015,001,000.85
  5. Step 5: Solve for x
    x = 24,015,001,000.85/194,576.58
  6. Step 6: Final answer
    x = 123,421.85

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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.