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Finding the Fourth Proportional to 137,846.97, 206,782.04 and 38,007.11

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Solution

The fourth proportional to 137,846.97, 206,782.04 and 38,007.11 is: 57,013.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,846.97 : 206,782.04 = 38,007.11 : x
  2. Step 2: Convert to fraction form
    137,846.97/206,782.04 = 38,007.11/x
  3. Step 3: Cross multiply
    137,846.97x = 206,782.04 × 38,007.11
  4. Step 4: Simplify right side
    137,846.97x = 7,859,188,352.28
  5. Step 5: Solve for x
    x = 7,859,188,352.28/137,846.97
  6. Step 6: Final answer
    x = 57,013.86

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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.