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Finding the Fourth Proportional to 212,902.46, 319,090.70 and 182,704.43

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Solution

The fourth proportional to 212,902.46, 319,090.70 and 182,704.43 is: 273,830.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,902.46 : 319,090.70 = 182,704.43 : x
  2. Step 2: Convert to fraction form
    212,902.46/319,090.70 = 182,704.43/x
  3. Step 3: Cross multiply
    212,902.46x = 319,090.70 × 182,704.43
  4. Step 4: Simplify right side
    212,902.46x = 58,299,283,323.11
  5. Step 5: Solve for x
    x = 58,299,283,323.11/212,902.46
  6. Step 6: Final answer
    x = 273,830.96

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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.