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Finding the Fourth Proportional to 201,313.14, 301,748.28 and 82,919.90

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Solution

The fourth proportional to 201,313.14, 301,748.28 and 82,919.90 is: 124,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,313.14 : 301,748.28 = 82,919.90 : x
  2. Step 2: Convert to fraction form
    201,313.14/301,748.28 = 82,919.90/x
  3. Step 3: Cross multiply
    201,313.14x = 301,748.28 × 82,919.90
  4. Step 4: Simplify right side
    201,313.14x = 25,020,935,694.03
  5. Step 5: Solve for x
    x = 25,020,935,694.03/201,313.14
  6. Step 6: Final answer
    x = 124,288.64

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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.