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Finding the Fourth Proportional to 198,661.20, 297,732.60 and 92,032.80

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Solution

The fourth proportional to 198,661.20, 297,732.60 and 92,032.80 is: 137,929.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,661.20 : 297,732.60 = 92,032.80 : x
  2. Step 2: Convert to fraction form
    198,661.20/297,732.60 = 92,032.80/x
  3. Step 3: Cross multiply
    198,661.20x = 297,732.60 × 92,032.80
  4. Step 4: Simplify right side
    198,661.20x = 27,401,164,829.28
  5. Step 5: Solve for x
    x = 27,401,164,829.28/198,661.20
  6. Step 6: Final answer
    x = 137,929.12

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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.