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Finding the Fourth Proportional to 171,993.88, 257,992.26 and 47,341.72

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Solution

The fourth proportional to 171,993.88, 257,992.26 and 47,341.72 is: 71,012.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,993.88 : 257,992.26 = 47,341.72 : x
  2. Step 2: Convert to fraction form
    171,993.88/257,992.26 = 47,341.72/x
  3. Step 3: Cross multiply
    171,993.88x = 257,992.26 × 47,341.72
  4. Step 4: Simplify right side
    171,993.88x = 12,213,797,335.09
  5. Step 5: Solve for x
    x = 12,213,797,335.09/171,993.88
  6. Step 6: Final answer
    x = 71,012.98

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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.