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Finding the Fourth Proportional to 203,951.70, 305,927.55 and 161,961.30

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Solution

The fourth proportional to 203,951.70, 305,927.55 and 161,961.30 is: 242,941.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,951.70 : 305,927.55 = 161,961.30 : x
  2. Step 2: Convert to fraction form
    203,951.70/305,927.55 = 161,961.30/x
  3. Step 3: Cross multiply
    203,951.70x = 305,927.55 × 161,961.30
  4. Step 4: Simplify right side
    203,951.70x = 49,548,423,703.82
  5. Step 5: Solve for x
    x = 49,548,423,703.82/203,951.70
  6. Step 6: Final answer
    x = 242,941.95

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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.