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Finding the Fourth Proportional to 198,458.67, 297,625.23 and 65,309.25

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Solution

The fourth proportional to 198,458.67, 297,625.23 and 65,309.25 is: 97,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,458.67 : 297,625.23 = 65,309.25 : x
  2. Step 2: Convert to fraction form
    198,458.67/297,625.23 = 65,309.25/x
  3. Step 3: Cross multiply
    198,458.67x = 297,625.23 × 65,309.25
  4. Step 4: Simplify right side
    198,458.67x = 19,437,680,552.38
  5. Step 5: Solve for x
    x = 19,437,680,552.38/198,458.67
  6. Step 6: Final answer
    x = 97,943.22

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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.