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Finding the Fourth Proportional to 130,684, 196,026 and 56,812

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Solution

The fourth proportional to 130,684, 196,026 and 56,812 is: 85,218

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,684 : 196,026 = 56,812 : x
  2. Step 2: Convert to fraction form
    130,684/196,026 = 56,812/x
  3. Step 3: Cross multiply
    130,684x = 196,026 × 56,812
  4. Step 4: Simplify right side
    130,684x = 11,136,629,112
  5. Step 5: Solve for x
    x = 11,136,629,112/130,684
  6. Step 6: Final answer
    x = 85,218

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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.