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Finding the Fourth Proportional to 198,102.30, 297,809.55 and 169,233.90

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Solution

The fourth proportional to 198,102.30, 297,809.55 and 169,233.90 is: 254,411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,102.30 : 297,809.55 = 169,233.90 : x
  2. Step 2: Convert to fraction form
    198,102.30/297,809.55 = 169,233.90/x
  3. Step 3: Cross multiply
    198,102.30x = 297,809.55 × 169,233.90
  4. Step 4: Simplify right side
    198,102.30x = 50,399,471,603.75
  5. Step 5: Solve for x
    x = 50,399,471,603.75/198,102.30
  6. Step 6: Final answer
    x = 254,411.34

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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.