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Finding the Fourth Proportional to 225,530.49, 311,218.68 and 123,535.56

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Solution

The fourth proportional to 225,530.49, 311,218.68 and 123,535.56 is: 170,471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,530.49 : 311,218.68 = 123,535.56 : x
  2. Step 2: Convert to fraction form
    225,530.49/311,218.68 = 123,535.56/x
  3. Step 3: Cross multiply
    225,530.49x = 311,218.68 × 123,535.56
  4. Step 4: Simplify right side
    225,530.49x = 38,446,573,916.26
  5. Step 5: Solve for x
    x = 38,446,573,916.26/225,530.49
  6. Step 6: Final answer
    x = 170,471.73

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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.