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Finding the Fourth Proportional to 205,951.40, 308,927.10 and 161,714.60

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Solution

The fourth proportional to 205,951.40, 308,927.10 and 161,714.60 is: 242,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,951.40 : 308,927.10 = 161,714.60 : x
  2. Step 2: Convert to fraction form
    205,951.40/308,927.10 = 161,714.60/x
  3. Step 3: Cross multiply
    205,951.40x = 308,927.10 × 161,714.60
  4. Step 4: Simplify right side
    205,951.40x = 49,958,022,405.66
  5. Step 5: Solve for x
    x = 49,958,022,405.66/205,951.40
  6. Step 6: Final answer
    x = 242,571.90

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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.