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Finding the Fourth Proportional to 171,896.80, 257,845.20 and 119,408.80

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Solution

The fourth proportional to 171,896.80, 257,845.20 and 119,408.80 is: 179,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,896.80 : 257,845.20 = 119,408.80 : x
  2. Step 2: Convert to fraction form
    171,896.80/257,845.20 = 119,408.80/x
  3. Step 3: Cross multiply
    171,896.80x = 257,845.20 × 119,408.80
  4. Step 4: Simplify right side
    171,896.80x = 30,788,985,917.76
  5. Step 5: Solve for x
    x = 30,788,985,917.76/171,896.80
  6. Step 6: Final answer
    x = 179,113.20

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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.