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Finding the Fourth Proportional to 196,427.25, 271,069.61 and 107,003.25

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Solution

The fourth proportional to 196,427.25, 271,069.61 and 107,003.25 is: 147,664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,427.25 : 271,069.61 = 107,003.25 : x
  2. Step 2: Convert to fraction form
    196,427.25/271,069.61 = 107,003.25/x
  3. Step 3: Cross multiply
    196,427.25x = 271,069.61 × 107,003.25
  4. Step 4: Simplify right side
    196,427.25x = 29,005,328,711.22
  5. Step 5: Solve for x
    x = 29,005,328,711.22/196,427.25
  6. Step 6: Final answer
    x = 147,664.49

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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.