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Finding the Fourth Proportional to 201,361.80, 302,042.70 and 82,972.20

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Solution

The fourth proportional to 201,361.80, 302,042.70 and 82,972.20 is: 124,458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,361.80 : 302,042.70 = 82,972.20 : x
  2. Step 2: Convert to fraction form
    201,361.80/302,042.70 = 82,972.20/x
  3. Step 3: Cross multiply
    201,361.80x = 302,042.70 × 82,972.20
  4. Step 4: Simplify right side
    201,361.80x = 25,061,147,312.94
  5. Step 5: Solve for x
    x = 25,061,147,312.94/201,361.80
  6. Step 6: Final answer
    x = 124,458.30

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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.