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Finding the Fourth Proportional to 304,128.38, 419,679.13 and 168,151.66

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Solution

The fourth proportional to 304,128.38, 419,679.13 and 168,151.66 is: 232,039.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,128.38 : 419,679.13 = 168,151.66 : x
  2. Step 2: Convert to fraction form
    304,128.38/419,679.13 = 168,151.66/x
  3. Step 3: Cross multiply
    304,128.38x = 419,679.13 × 168,151.66
  4. Step 4: Simplify right side
    304,128.38x = 70,569,741,327.66
  5. Step 5: Solve for x
    x = 70,569,741,327.66/304,128.38
  6. Step 6: Final answer
    x = 232,039.31

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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.