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Finding the Fourth Proportional to 227,884.20, 341,826.30 and 202,296.30

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Solution

The fourth proportional to 227,884.20, 341,826.30 and 202,296.30 is: 303,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,884.20 : 341,826.30 = 202,296.30 : x
  2. Step 2: Convert to fraction form
    227,884.20/341,826.30 = 202,296.30/x
  3. Step 3: Cross multiply
    227,884.20x = 341,826.30 × 202,296.30
  4. Step 4: Simplify right side
    227,884.20x = 69,150,195,732.69
  5. Step 5: Solve for x
    x = 69,150,195,732.69/227,884.20
  6. Step 6: Final answer
    x = 303,444.45

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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.