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Finding the Fourth Proportional to 198,348.67, 297,567.02 and 65,223.55

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Solution

The fourth proportional to 198,348.67, 297,567.02 and 65,223.55 is: 97,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,348.67 : 297,567.02 = 65,223.55 : x
  2. Step 2: Convert to fraction form
    198,348.67/297,567.02 = 65,223.55/x
  3. Step 3: Cross multiply
    198,348.67x = 297,567.02 × 65,223.55
  4. Step 4: Simplify right side
    198,348.67x = 19,408,377,407.32
  5. Step 5: Solve for x
    x = 19,408,377,407.32/198,348.67
  6. Step 6: Final answer
    x = 97,849.80

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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.