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Finding the Fourth Proportional to 219,883.38, 303,453.44 and 123,096.08

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Solution

The fourth proportional to 219,883.38, 303,453.44 and 123,096.08 is: 169,880.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,883.38 : 303,453.44 = 123,096.08 : x
  2. Step 2: Convert to fraction form
    219,883.38/303,453.44 = 123,096.08/x
  3. Step 3: Cross multiply
    219,883.38x = 303,453.44 × 123,096.08
  4. Step 4: Simplify right side
    219,883.38x = 37,353,926,793.77
  5. Step 5: Solve for x
    x = 37,353,926,793.77/219,883.38
  6. Step 6: Final answer
    x = 169,880.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.