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Finding the Fourth Proportional to 182,427.40, 273,122.70 and 161,691.40

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Solution

The fourth proportional to 182,427.40, 273,122.70 and 161,691.40 is: 242,077.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,427.40 : 273,122.70 = 161,691.40 : x
  2. Step 2: Convert to fraction form
    182,427.40/273,122.70 = 161,691.40/x
  3. Step 3: Cross multiply
    182,427.40x = 273,122.70 × 161,691.40
  4. Step 4: Simplify right side
    182,427.40x = 44,161,591,734.78
  5. Step 5: Solve for x
    x = 44,161,591,734.78/182,427.40
  6. Step 6: Final answer
    x = 242,077.63

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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.