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Finding the Fourth Proportional to 304,148.91, 419,721.12 and 168,179.88

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Solution

The fourth proportional to 304,148.91, 419,721.12 and 168,179.88 is: 232,085.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,148.91 : 419,721.12 = 168,179.88 : x
  2. Step 2: Convert to fraction form
    304,148.91/419,721.12 = 168,179.88/x
  3. Step 3: Cross multiply
    304,148.91x = 419,721.12 × 168,179.88
  4. Step 4: Simplify right side
    304,148.91x = 70,588,647,595.07
  5. Step 5: Solve for x
    x = 70,588,647,595.07/304,148.91
  6. Step 6: Final answer
    x = 232,085.81

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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.