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Finding the Fourth Proportional to 198,126, 297,191.43 and 73,467

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Solution

The fourth proportional to 198,126, 297,191.43 and 73,467 is: 110,201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,126 : 297,191.43 = 73,467 : x
  2. Step 2: Convert to fraction form
    198,126/297,191.43 = 73,467/x
  3. Step 3: Cross multiply
    198,126x = 297,191.43 × 73,467
  4. Step 4: Simplify right side
    198,126x = 21,833,762,787.81
  5. Step 5: Solve for x
    x = 21,833,762,787.81/198,126
  6. Step 6: Final answer
    x = 110,201.40

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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.