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Finding the Fourth Proportional to 303,168.24, 418,381.92 and 167,208

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Solution

The fourth proportional to 303,168.24, 418,381.92 and 167,208 is: 230,752.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,168.24 : 418,381.92 = 167,208 : x
  2. Step 2: Convert to fraction form
    303,168.24/418,381.92 = 167,208/x
  3. Step 3: Cross multiply
    303,168.24x = 418,381.92 × 167,208
  4. Step 4: Simplify right side
    303,168.24x = 69,956,804,079.36
  5. Step 5: Solve for x
    x = 69,956,804,079.36/303,168.24
  6. Step 6: Final answer
    x = 230,752.42

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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.