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Finding the Fourth Proportional to 182,469.12, 251,797.76 and 102,976

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Solution

The fourth proportional to 182,469.12, 251,797.76 and 102,976 is: 142,101.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,469.12 : 251,797.76 = 102,976 : x
  2. Step 2: Convert to fraction form
    182,469.12/251,797.76 = 102,976/x
  3. Step 3: Cross multiply
    182,469.12x = 251,797.76 × 102,976
  4. Step 4: Simplify right side
    182,469.12x = 25,929,126,133.76
  5. Step 5: Solve for x
    x = 25,929,126,133.76/182,469.12
  6. Step 6: Final answer
    x = 142,101.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.