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Finding the Fourth Proportional to 202,016.84, 303,129.14 and 154,934.37

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Solution

The fourth proportional to 202,016.84, 303,129.14 and 154,934.37 is: 232,481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,016.84 : 303,129.14 = 154,934.37 : x
  2. Step 2: Convert to fraction form
    202,016.84/303,129.14 = 154,934.37/x
  3. Step 3: Cross multiply
    202,016.84x = 303,129.14 × 154,934.37
  4. Step 4: Simplify right side
    202,016.84x = 46,965,121,559.87
  5. Step 5: Solve for x
    x = 46,965,121,559.87/202,016.84
  6. Step 6: Final answer
    x = 232,481.23

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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.