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Finding the Fourth Proportional to 227,896.43, 340,977.31 and 137,606.81

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Solution

The fourth proportional to 227,896.43, 340,977.31 and 137,606.81 is: 205,886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,896.43 : 340,977.31 = 137,606.81 : x
  2. Step 2: Convert to fraction form
    227,896.43/340,977.31 = 137,606.81/x
  3. Step 3: Cross multiply
    227,896.43x = 340,977.31 × 137,606.81
  4. Step 4: Simplify right side
    227,896.43x = 46,920,800,419.91
  5. Step 5: Solve for x
    x = 46,920,800,419.91/227,896.43
  6. Step 6: Final answer
    x = 205,886.51

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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.