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Finding the Fourth Proportional to 226,310.28, 312,313.14 and 130,821

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Solution

The fourth proportional to 226,310.28, 312,313.14 and 130,821 is: 180,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,310.28 : 312,313.14 = 130,821 : x
  2. Step 2: Convert to fraction form
    226,310.28/312,313.14 = 130,821/x
  3. Step 3: Cross multiply
    226,310.28x = 312,313.14 × 130,821
  4. Step 4: Simplify right side
    226,310.28x = 40,857,117,287.94
  5. Step 5: Solve for x
    x = 40,857,117,287.94/226,310.28
  6. Step 6: Final answer
    x = 180,535.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.