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Finding the Fourth Proportional to 226,506.79, 312,581.38 and 123,141.19

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Solution

The fourth proportional to 226,506.79, 312,581.38 and 123,141.19 is: 169,935.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,506.79 : 312,581.38 = 123,141.19 : x
  2. Step 2: Convert to fraction form
    226,506.79/312,581.38 = 123,141.19/x
  3. Step 3: Cross multiply
    226,506.79x = 312,581.38 × 123,141.19
  4. Step 4: Simplify right side
    226,506.79x = 38,491,643,105.04
  5. Step 5: Solve for x
    x = 38,491,643,105.04/226,506.79
  6. Step 6: Final answer
    x = 169,935.94

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Why These Related Problems?

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