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Finding the Fourth Proportional to 198,463.50, 297,671.58 and 65,310.75

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Solution

The fourth proportional to 198,463.50, 297,671.58 and 65,310.75 is: 97,958.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,463.50 : 297,671.58 = 65,310.75 : x
  2. Step 2: Convert to fraction form
    198,463.50/297,671.58 = 65,310.75/x
  3. Step 3: Cross multiply
    198,463.50x = 297,671.58 × 65,310.75
  4. Step 4: Simplify right side
    198,463.50x = 19,441,154,143.49
  5. Step 5: Solve for x
    x = 19,441,154,143.49/198,463.50
  6. Step 6: Final answer
    x = 97,958.34

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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.