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Finding the Fourth Proportional to 137,488, 206,244 and 38,992

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Solution

The fourth proportional to 137,488, 206,244 and 38,992 is: 58,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,488 : 206,244 = 38,992 : x
  2. Step 2: Convert to fraction form
    137,488/206,244 = 38,992/x
  3. Step 3: Cross multiply
    137,488x = 206,244 × 38,992
  4. Step 4: Simplify right side
    137,488x = 8,041,866,048
  5. Step 5: Solve for x
    x = 8,041,866,048/137,488
  6. Step 6: Final answer
    x = 58,491.40

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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.