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Finding the Fourth Proportional to 198,492.30, 297,629.10 and 80,029.80

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Solution

The fourth proportional to 198,492.30, 297,629.10 and 80,029.80 is: 120,000.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,492.30 : 297,629.10 = 80,029.80 : x
  2. Step 2: Convert to fraction form
    198,492.30/297,629.10 = 80,029.80/x
  3. Step 3: Cross multiply
    198,492.30x = 297,629.10 × 80,029.80
  4. Step 4: Simplify right side
    198,492.30x = 23,819,197,347.18
  5. Step 5: Solve for x
    x = 23,819,197,347.18/198,492.30
  6. Step 6: Final answer
    x = 120,000.61

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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.