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Finding the Fourth Proportional to 101,180, 151,770 and 27,308

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Solution

The fourth proportional to 101,180, 151,770 and 27,308 is: 40,962

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,180 : 151,770 = 27,308 : x
  2. Step 2: Convert to fraction form
    101,180/151,770 = 27,308/x
  3. Step 3: Cross multiply
    101,180x = 151,770 × 27,308
  4. Step 4: Simplify right side
    101,180x = 4,144,535,160
  5. Step 5: Solve for x
    x = 4,144,535,160/101,180
  6. Step 6: Final answer
    x = 40,962

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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.