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Finding the Fourth Proportional to 198,000.20, 297,000.30 and 50,256.20

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Solution

The fourth proportional to 198,000.20, 297,000.30 and 50,256.20 is: 75,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,000.20 : 297,000.30 = 50,256.20 : x
  2. Step 2: Convert to fraction form
    198,000.20/297,000.30 = 50,256.20/x
  3. Step 3: Cross multiply
    198,000.20x = 297,000.30 × 50,256.20
  4. Step 4: Simplify right side
    198,000.20x = 14,926,106,476.86
  5. Step 5: Solve for x
    x = 14,926,106,476.86/198,000.20
  6. Step 6: Final answer
    x = 75,384.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.