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Finding the Fourth Proportional to 213,872.50, 295,133.97 and 117,074.44

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Solution

The fourth proportional to 213,872.50, 295,133.97 and 117,074.44 is: 161,557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,872.50 : 295,133.97 = 117,074.44 : x
  2. Step 2: Convert to fraction form
    213,872.50/295,133.97 = 117,074.44/x
  3. Step 3: Cross multiply
    213,872.50x = 295,133.97 × 117,074.44
  4. Step 4: Simplify right side
    213,872.50x = 34,552,644,262.73
  5. Step 5: Solve for x
    x = 34,552,644,262.73/213,872.50
  6. Step 6: Final answer
    x = 161,557.21

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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.