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Finding the Fourth Proportional to 201,265.32, 301,934.43 and 82,872.09

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Solution

The fourth proportional to 201,265.32, 301,934.43 and 82,872.09 is: 124,323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,265.32 : 301,934.43 = 82,872.09 : x
  2. Step 2: Convert to fraction form
    201,265.32/301,934.43 = 82,872.09/x
  3. Step 3: Cross multiply
    201,265.32x = 301,934.43 × 82,872.09
  4. Step 4: Simplify right side
    201,265.32x = 25,021,937,257.06
  5. Step 5: Solve for x
    x = 25,021,937,257.06/201,265.32
  6. Step 6: Final answer
    x = 124,323.14

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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.