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Finding the Fourth Proportional to 255,786.20, 384,140.10 and 185,744.60

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Solution

The fourth proportional to 255,786.20, 384,140.10 and 185,744.60 is: 278,951.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,786.20 : 384,140.10 = 185,744.60 : x
  2. Step 2: Convert to fraction form
    255,786.20/384,140.10 = 185,744.60/x
  3. Step 3: Cross multiply
    255,786.20x = 384,140.10 × 185,744.60
  4. Step 4: Simplify right side
    255,786.20x = 71,351,949,218.46
  5. Step 5: Solve for x
    x = 71,351,949,218.46/255,786.20
  6. Step 6: Final answer
    x = 278,951.52

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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.