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Finding the Fourth Proportional to 212,704.50, 319,181.30 and 118,013.88

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Solution

The fourth proportional to 212,704.50, 319,181.30 and 118,013.88 is: 177,089.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,704.50 : 319,181.30 = 118,013.88 : x
  2. Step 2: Convert to fraction form
    212,704.50/319,181.30 = 118,013.88/x
  3. Step 3: Cross multiply
    212,704.50x = 319,181.30 × 118,013.88
  4. Step 4: Simplify right side
    212,704.50x = 37,667,823,636.44
  5. Step 5: Solve for x
    x = 37,667,823,636.44/212,704.50
  6. Step 6: Final answer
    x = 177,089.92

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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.