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Finding the Fourth Proportional to 199,123.20, 298,684.80 and 120,196.80

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Solution

The fourth proportional to 199,123.20, 298,684.80 and 120,196.80 is: 180,295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,123.20 : 298,684.80 = 120,196.80 : x
  2. Step 2: Convert to fraction form
    199,123.20/298,684.80 = 120,196.80/x
  3. Step 3: Cross multiply
    199,123.20x = 298,684.80 × 120,196.80
  4. Step 4: Simplify right side
    199,123.20x = 35,900,957,168.64
  5. Step 5: Solve for x
    x = 35,900,957,168.64/199,123.20
  6. Step 6: Final answer
    x = 180,295.20

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1.5x scale

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.