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Finding the Fourth Proportional to 201,071.07, 301,491.32 and 82,644.75

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Solution

The fourth proportional to 201,071.07, 301,491.32 and 82,644.75 is: 123,919.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,071.07 : 301,491.32 = 82,644.75 : x
  2. Step 2: Convert to fraction form
    201,071.07/301,491.32 = 82,644.75/x
  3. Step 3: Cross multiply
    201,071.07x = 301,491.32 × 82,644.75
  4. Step 4: Simplify right side
    201,071.07x = 24,916,674,355.35
  5. Step 5: Solve for x
    x = 24,916,674,355.35/201,071.07
  6. Step 6: Final answer
    x = 123,919.74

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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.