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Finding the Fourth Proportional to 182,850.97, 252,232.78 and 106,361.46

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Solution

The fourth proportional to 182,850.97, 252,232.78 and 106,361.46 is: 146,719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,850.97 : 252,232.78 = 106,361.46 : x
  2. Step 2: Convert to fraction form
    182,850.97/252,232.78 = 106,361.46/x
  3. Step 3: Cross multiply
    182,850.97x = 252,232.78 × 106,361.46
  4. Step 4: Simplify right side
    182,850.97x = 26,827,846,740.66
  5. Step 5: Solve for x
    x = 26,827,846,740.66/182,850.97
  6. Step 6: Final answer
    x = 146,719.74

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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.