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Finding the Fourth Proportional to 198,152, 297,245.28 and 50,408

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Solution

The fourth proportional to 198,152, 297,245.28 and 50,408 is: 75,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,152 : 297,245.28 = 50,408 : x
  2. Step 2: Convert to fraction form
    198,152/297,245.28 = 50,408/x
  3. Step 3: Cross multiply
    198,152x = 297,245.28 × 50,408
  4. Step 4: Simplify right side
    198,152x = 14,983,540,074.24
  5. Step 5: Solve for x
    x = 14,983,540,074.24/198,152
  6. Step 6: Final answer
    x = 75,616.40

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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.