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Finding the Fourth Proportional to 205,037.20, 307,555.80 and 171,859.60

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Solution

The fourth proportional to 205,037.20, 307,555.80 and 171,859.60 is: 257,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,037.20 : 307,555.80 = 171,859.60 : x
  2. Step 2: Convert to fraction form
    205,037.20/307,555.80 = 171,859.60/x
  3. Step 3: Cross multiply
    205,037.20x = 307,555.80 × 171,859.60
  4. Step 4: Simplify right side
    205,037.20x = 52,856,416,765.68
  5. Step 5: Solve for x
    x = 52,856,416,765.68/205,037.20
  6. Step 6: Final answer
    x = 257,789.40

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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.