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Finding the Fourth Proportional to 198,422.25, 297,676.49 and 65,316.03

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Solution

The fourth proportional to 198,422.25, 297,676.49 and 65,316.03 is: 97,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,422.25 : 297,676.49 = 65,316.03 : x
  2. Step 2: Convert to fraction form
    198,422.25/297,676.49 = 65,316.03/x
  3. Step 3: Cross multiply
    198,422.25x = 297,676.49 × 65,316.03
  4. Step 4: Simplify right side
    198,422.25x = 19,443,046,224.55
  5. Step 5: Solve for x
    x = 19,443,046,224.55/198,422.25
  6. Step 6: Final answer
    x = 97,988.24

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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.