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Finding the Fourth Proportional to 221,462.70, 332,194.05 and 212,714.70

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Solution

The fourth proportional to 221,462.70, 332,194.05 and 212,714.70 is: 319,072.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,462.70 : 332,194.05 = 212,714.70 : x
  2. Step 2: Convert to fraction form
    221,462.70/332,194.05 = 212,714.70/x
  3. Step 3: Cross multiply
    221,462.70x = 332,194.05 × 212,714.70
  4. Step 4: Simplify right side
    221,462.70x = 70,662,557,687.54
  5. Step 5: Solve for x
    x = 70,662,557,687.54/221,462.70
  6. Step 6: Final answer
    x = 319,072.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.