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Finding the Fourth Proportional to 198,516, 297,776.16 and 50,772

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Solution

The fourth proportional to 198,516, 297,776.16 and 50,772 is: 76,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,516 : 297,776.16 = 50,772 : x
  2. Step 2: Convert to fraction form
    198,516/297,776.16 = 50,772/x
  3. Step 3: Cross multiply
    198,516x = 297,776.16 × 50,772
  4. Step 4: Simplify right side
    198,516x = 15,118,691,195.52
  5. Step 5: Solve for x
    x = 15,118,691,195.52/198,516
  6. Step 6: Final answer
    x = 76,158.55

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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.