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Finding the Fourth Proportional to 164,682.84, 227,236.50 and 95,787.56

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Solution

The fourth proportional to 164,682.84, 227,236.50 and 95,787.56 is: 132,171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,682.84 : 227,236.50 = 95,787.56 : x
  2. Step 2: Convert to fraction form
    164,682.84/227,236.50 = 95,787.56/x
  3. Step 3: Cross multiply
    164,682.84x = 227,236.50 × 95,787.56
  4. Step 4: Simplify right side
    164,682.84x = 21,766,429,877.94
  5. Step 5: Solve for x
    x = 21,766,429,877.94/164,682.84
  6. Step 6: Final answer
    x = 132,171.82

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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.