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Finding the Fourth Proportional to 199,234.60, 298,851.90 and 185,237.80

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Solution

The fourth proportional to 199,234.60, 298,851.90 and 185,237.80 is: 277,856.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,234.60 : 298,851.90 = 185,237.80 : x
  2. Step 2: Convert to fraction form
    199,234.60/298,851.90 = 185,237.80/x
  3. Step 3: Cross multiply
    199,234.60x = 298,851.90 × 185,237.80
  4. Step 4: Simplify right side
    199,234.60x = 55,358,668,481.82
  5. Step 5: Solve for x
    x = 55,358,668,481.82/199,234.60
  6. Step 6: Final answer
    x = 277,856.70

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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.