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Finding the Fourth Proportional to 195,879.60, 293,819.40 and 96,103.80

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Solution

The fourth proportional to 195,879.60, 293,819.40 and 96,103.80 is: 144,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,879.60 : 293,819.40 = 96,103.80 : x
  2. Step 2: Convert to fraction form
    195,879.60/293,819.40 = 96,103.80/x
  3. Step 3: Cross multiply
    195,879.60x = 293,819.40 × 96,103.80
  4. Step 4: Simplify right side
    195,879.60x = 28,237,160,853.72
  5. Step 5: Solve for x
    x = 28,237,160,853.72/195,879.60
  6. Step 6: Final answer
    x = 144,155.70

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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.