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Finding the Fourth Proportional to 194,638.30, 291,727.05 and 82,318.30

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Solution

The fourth proportional to 194,638.30, 291,727.05 and 82,318.30 is: 123,380.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,638.30 : 291,727.05 = 82,318.30 : x
  2. Step 2: Convert to fraction form
    194,638.30/291,727.05 = 82,318.30/x
  3. Step 3: Cross multiply
    194,638.30x = 291,727.05 × 82,318.30
  4. Step 4: Simplify right side
    194,638.30x = 24,014,474,820.02
  5. Step 5: Solve for x
    x = 24,014,474,820.02/194,638.30
  6. Step 6: Final answer
    x = 123,380.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.