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Finding the Fourth Proportional to 114,540.54, 171,741.77 and 51,349.22

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Solution

The fourth proportional to 114,540.54, 171,741.77 and 51,349.22 is: 76,992.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,540.54 : 171,741.77 = 51,349.22 : x
  2. Step 2: Convert to fraction form
    114,540.54/171,741.77 = 51,349.22/x
  3. Step 3: Cross multiply
    114,540.54x = 171,741.77 × 51,349.22
  4. Step 4: Simplify right side
    114,540.54x = 8,818,805,930.92
  5. Step 5: Solve for x
    x = 8,818,805,930.92/114,540.54
  6. Step 6: Final answer
    x = 76,992.88

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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.