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Finding the Fourth Proportional to 194,635.80, 291,723.30 and 82,315.80

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Solution

The fourth proportional to 194,635.80, 291,723.30 and 82,315.80 is: 123,376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,635.80 : 291,723.30 = 82,315.80 : x
  2. Step 2: Convert to fraction form
    194,635.80/291,723.30 = 82,315.80/x
  3. Step 3: Cross multiply
    194,635.80x = 291,723.30 × 82,315.80
  4. Step 4: Simplify right side
    194,635.80x = 24,013,436,818.14
  5. Step 5: Solve for x
    x = 24,013,436,818.14/194,635.80
  6. Step 6: Final answer
    x = 123,376.26

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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.