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Finding the Fourth Proportional to 171,887.14, 257,566.98 and 71,992.67

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Solution

The fourth proportional to 171,887.14, 257,566.98 and 71,992.67 is: 107,878.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,887.14 : 257,566.98 = 71,992.67 : x
  2. Step 2: Convert to fraction form
    171,887.14/257,566.98 = 71,992.67/x
  3. Step 3: Cross multiply
    171,887.14x = 257,566.98 × 71,992.67
  4. Step 4: Simplify right side
    171,887.14x = 18,542,934,594.04
  5. Step 5: Solve for x
    x = 18,542,934,594.04/171,887.14
  6. Step 6: Final answer
    x = 107,878.55

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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.