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Finding the Fourth Proportional to 198,894.49, 297,866.86 and 114,477.21

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Solution

The fourth proportional to 198,894.49, 297,866.86 and 114,477.21 is: 171,442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,894.49 : 297,866.86 = 114,477.21 : x
  2. Step 2: Convert to fraction form
    198,894.49/297,866.86 = 114,477.21/x
  3. Step 3: Cross multiply
    198,894.49x = 297,866.86 × 114,477.21
  4. Step 4: Simplify right side
    198,894.49x = 34,098,967,227.36
  5. Step 5: Solve for x
    x = 34,098,967,227.36/198,894.49
  6. Step 6: Final answer
    x = 171,442.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.