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Finding the Fourth Proportional to 201,897.30, 302,517.90 and 168,436.20

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Solution

The fourth proportional to 201,897.30, 302,517.90 and 168,436.20 is: 252,380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,897.30 : 302,517.90 = 168,436.20 : x
  2. Step 2: Convert to fraction form
    201,897.30/302,517.90 = 168,436.20/x
  3. Step 3: Cross multiply
    201,897.30x = 302,517.90 × 168,436.20
  4. Step 4: Simplify right side
    201,897.30x = 50,954,965,507.98
  5. Step 5: Solve for x
    x = 50,954,965,507.98/201,897.30
  6. Step 6: Final answer
    x = 252,380.62

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Why These Related Problems?

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