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Finding the Fourth Proportional to 198,175.50, 297,294.21 and 65,025.47

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Solution

The fourth proportional to 198,175.50, 297,294.21 and 65,025.47 is: 97,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,175.50 : 297,294.21 = 65,025.47 : x
  2. Step 2: Convert to fraction form
    198,175.50/297,294.21 = 65,025.47/x
  3. Step 3: Cross multiply
    198,175.50x = 297,294.21 × 65,025.47
  4. Step 4: Simplify right side
    198,175.50x = 19,331,696,476.76
  5. Step 5: Solve for x
    x = 19,331,696,476.76/198,175.50
  6. Step 6: Final answer
    x = 97,548.37

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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.