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Finding the Fourth Proportional to 136,218, 204,327 and 37,722

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Solution

The fourth proportional to 136,218, 204,327 and 37,722 is: 56,583

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,218 : 204,327 = 37,722 : x
  2. Step 2: Convert to fraction form
    136,218/204,327 = 37,722/x
  3. Step 3: Cross multiply
    136,218x = 204,327 × 37,722
  4. Step 4: Simplify right side
    136,218x = 7,707,623,094
  5. Step 5: Solve for x
    x = 7,707,623,094/136,218
  6. Step 6: Final answer
    x = 56,583

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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.