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Finding the Fourth Proportional to 182,729.41, 274,133.23 and 54,655.74

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Solution

The fourth proportional to 182,729.41, 274,133.23 and 54,655.74 is: 81,995.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,729.41 : 274,133.23 = 54,655.74 : x
  2. Step 2: Convert to fraction form
    182,729.41/274,133.23 = 54,655.74/x
  3. Step 3: Cross multiply
    182,729.41x = 274,133.23 × 54,655.74
  4. Step 4: Simplify right side
    182,729.41x = 14,982,954,407.60
  5. Step 5: Solve for x
    x = 14,982,954,407.60/182,729.41
  6. Step 6: Final answer
    x = 81,995.31

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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.