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Finding the Fourth Proportional to 204,017.50, 281,577.54 and 169,972

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Solution

The fourth proportional to 204,017.50, 281,577.54 and 169,972 is: 234,589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,017.50 : 281,577.54 = 169,972 : x
  2. Step 2: Convert to fraction form
    204,017.50/281,577.54 = 169,972/x
  3. Step 3: Cross multiply
    204,017.50x = 281,577.54 × 169,972
  4. Step 4: Simplify right side
    204,017.50x = 47,860,297,628.88
  5. Step 5: Solve for x
    x = 47,860,297,628.88/204,017.50
  6. Step 6: Final answer
    x = 234,589.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.