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Finding the Fourth Proportional to 198,343, 297,514.50 and 50,599

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Solution

The fourth proportional to 198,343, 297,514.50 and 50,599 is: 75,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,343 : 297,514.50 = 50,599 : x
  2. Step 2: Convert to fraction form
    198,343/297,514.50 = 50,599/x
  3. Step 3: Cross multiply
    198,343x = 297,514.50 × 50,599
  4. Step 4: Simplify right side
    198,343x = 15,053,936,185.50
  5. Step 5: Solve for x
    x = 15,053,936,185.50/198,343
  6. Step 6: Final answer
    x = 75,898.50

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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.