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Finding the Fourth Proportional to 137,324.40, 206,073.24 and 58,438.48

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Solution

The fourth proportional to 137,324.40, 206,073.24 and 58,438.48 is: 87,694.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,324.40 : 206,073.24 = 58,438.48 : x
  2. Step 2: Convert to fraction form
    137,324.40/206,073.24 = 58,438.48/x
  3. Step 3: Cross multiply
    137,324.40x = 206,073.24 × 58,438.48
  4. Step 4: Simplify right side
    137,324.40x = 12,042,606,914.28
  5. Step 5: Solve for x
    x = 12,042,606,914.28/137,324.40
  6. Step 6: Final answer
    x = 87,694.59

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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.