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Finding the Fourth Proportional to 165,735.20, 248,602.80 and 119,424.80

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Solution

The fourth proportional to 165,735.20, 248,602.80 and 119,424.80 is: 179,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,735.20 : 248,602.80 = 119,424.80 : x
  2. Step 2: Convert to fraction form
    165,735.20/248,602.80 = 119,424.80/x
  3. Step 3: Cross multiply
    165,735.20x = 248,602.80 × 119,424.80
  4. Step 4: Simplify right side
    165,735.20x = 29,689,339,669.44
  5. Step 5: Solve for x
    x = 29,689,339,669.44/165,735.20
  6. Step 6: Final answer
    x = 179,137.20

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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.