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Finding the Fourth Proportional to 198,607.26, 297,930.33 and 65,433.18

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Solution

The fourth proportional to 198,607.26, 297,930.33 and 65,433.18 is: 98,156.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,607.26 : 297,930.33 = 65,433.18 : x
  2. Step 2: Convert to fraction form
    198,607.26/297,930.33 = 65,433.18/x
  3. Step 3: Cross multiply
    198,607.26x = 297,930.33 × 65,433.18
  4. Step 4: Simplify right side
    198,607.26x = 19,494,528,910.35
  5. Step 5: Solve for x
    x = 19,494,528,910.35/198,607.26
  6. Step 6: Final answer
    x = 98,156.17

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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.