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Finding the Fourth Proportional to 259,730.80, 389,596.20 and 119,762.80

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Solution

The fourth proportional to 259,730.80, 389,596.20 and 119,762.80 is: 179,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,730.80 : 389,596.20 = 119,762.80 : x
  2. Step 2: Convert to fraction form
    259,730.80/389,596.20 = 119,762.80/x
  3. Step 3: Cross multiply
    259,730.80x = 389,596.20 × 119,762.80
  4. Step 4: Simplify right side
    259,730.80x = 46,659,131,781.36
  5. Step 5: Solve for x
    x = 46,659,131,781.36/259,730.80
  6. Step 6: Final answer
    x = 179,644.20

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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.