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Finding the Fourth Proportional to 251,902.53, 378,378.68 and 212,536.53

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Solution

The fourth proportional to 251,902.53, 378,378.68 and 212,536.53 is: 319,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,902.53 : 378,378.68 = 212,536.53 : x
  2. Step 2: Convert to fraction form
    251,902.53/378,378.68 = 212,536.53/x
  3. Step 3: Cross multiply
    251,902.53x = 378,378.68 × 212,536.53
  4. Step 4: Simplify right side
    251,902.53x = 80,419,290,610.50
  5. Step 5: Solve for x
    x = 80,419,290,610.50/251,902.53
  6. Step 6: Final answer
    x = 319,247.65

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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.