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Finding the Fourth Proportional to 171,986.86, 258,081.78 and 65,460.49

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Solution

The fourth proportional to 171,986.86, 258,081.78 and 65,460.49 is: 98,229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,986.86 : 258,081.78 = 65,460.49 : x
  2. Step 2: Convert to fraction form
    171,986.86/258,081.78 = 65,460.49/x
  3. Step 3: Cross multiply
    171,986.86x = 258,081.78 × 65,460.49
  4. Step 4: Simplify right side
    171,986.86x = 16,894,159,778.87
  5. Step 5: Solve for x
    x = 16,894,159,778.87/171,986.86
  6. Step 6: Final answer
    x = 98,229.36

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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.