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Finding the Fourth Proportional to 304,120.78, 419,679.23 and 168,151.14

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Solution

The fourth proportional to 304,120.78, 419,679.23 and 168,151.14 is: 232,044.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,120.78 : 419,679.23 = 168,151.14 : x
  2. Step 2: Convert to fraction form
    304,120.78/419,679.23 = 168,151.14/x
  3. Step 3: Cross multiply
    304,120.78x = 419,679.23 × 168,151.14
  4. Step 4: Simplify right side
    304,120.78x = 70,569,540,118.07
  5. Step 5: Solve for x
    x = 70,569,540,118.07/304,120.78
  6. Step 6: Final answer
    x = 232,044.46

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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.