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Finding the Fourth Proportional to 182,889.77, 274,383.95 and 76,238.28

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Solution

The fourth proportional to 182,889.77, 274,383.95 and 76,238.28 is: 114,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,889.77 : 274,383.95 = 76,238.28 : x
  2. Step 2: Convert to fraction form
    182,889.77/274,383.95 = 76,238.28/x
  3. Step 3: Cross multiply
    182,889.77x = 274,383.95 × 76,238.28
  4. Step 4: Simplify right side
    182,889.77x = 20,918,560,026.41
  5. Step 5: Solve for x
    x = 20,918,560,026.41/182,889.77
  6. Step 6: Final answer
    x = 114,377.97

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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.