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Finding the Fourth Proportional to 198,295.35, 297,412.24 and 65,174.71

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Solution

The fourth proportional to 198,295.35, 297,412.24 and 65,174.71 is: 97,751.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,295.35 : 297,412.24 = 65,174.71 : x
  2. Step 2: Convert to fraction form
    198,295.35/297,412.24 = 65,174.71/x
  3. Step 3: Cross multiply
    198,295.35x = 297,412.24 × 65,174.71
  4. Step 4: Simplify right side
    198,295.35x = 19,383,756,492.45
  5. Step 5: Solve for x
    x = 19,383,756,492.45/198,295.35
  6. Step 6: Final answer
    x = 97,751.95

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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.