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Finding the Fourth Proportional to 101,178, 151,767 and 27,306

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Solution

The fourth proportional to 101,178, 151,767 and 27,306 is: 40,959

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,178 : 151,767 = 27,306 : x
  2. Step 2: Convert to fraction form
    101,178/151,767 = 27,306/x
  3. Step 3: Cross multiply
    101,178x = 151,767 × 27,306
  4. Step 4: Simplify right side
    101,178x = 4,144,149,702
  5. Step 5: Solve for x
    x = 4,144,149,702/101,178
  6. Step 6: Final answer
    x = 40,959

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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.