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Finding the Fourth Proportional to 255,785.20, 384,138.60 and 185,743.60

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Solution

The fourth proportional to 255,785.20, 384,138.60 and 185,743.60 is: 278,950.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,785.20 : 384,138.60 = 185,743.60 : x
  2. Step 2: Convert to fraction form
    255,785.20/384,138.60 = 185,743.60/x
  3. Step 3: Cross multiply
    255,785.20x = 384,138.60 × 185,743.60
  4. Step 4: Simplify right side
    255,785.20x = 71,351,286,462.96
  5. Step 5: Solve for x
    x = 71,351,286,462.96/255,785.20
  6. Step 6: Final answer
    x = 278,950.02

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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.