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Finding the Fourth Proportional to 212,841.20, 319,469.57 and 175,778.84

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Solution

The fourth proportional to 212,841.20, 319,469.57 and 175,778.84 is: 263,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,841.20 : 319,469.57 = 175,778.84 : x
  2. Step 2: Convert to fraction form
    212,841.20/319,469.57 = 175,778.84/x
  3. Step 3: Cross multiply
    212,841.20x = 319,469.57 × 175,778.84
  4. Step 4: Simplify right side
    212,841.20x = 56,155,991,008.85
  5. Step 5: Solve for x
    x = 56,155,991,008.85/212,841.20
  6. Step 6: Final answer
    x = 263,839.85

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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.