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Finding the Fourth Proportional to 304,144.66, 419,715.25 and 168,175.61

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Solution

The fourth proportional to 304,144.66, 419,715.25 and 168,175.61 is: 232,079.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,144.66 : 419,715.25 = 168,175.61 : x
  2. Step 2: Convert to fraction form
    304,144.66/419,715.25 = 168,175.61/x
  3. Step 3: Cross multiply
    304,144.66x = 419,715.25 × 168,175.61
  4. Step 4: Simplify right side
    304,144.66x = 70,585,868,195.05
  5. Step 5: Solve for x
    x = 70,585,868,195.05/304,144.66
  6. Step 6: Final answer
    x = 232,079.92

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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.