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Finding the Fourth Proportional to 304,121.78, 419,680.60 and 168,152.14

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Solution

The fourth proportional to 304,121.78, 419,680.60 and 168,152.14 is: 232,045.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,121.78 : 419,680.60 = 168,152.14 : x
  2. Step 2: Convert to fraction form
    304,121.78/419,680.60 = 168,152.14/x
  3. Step 3: Cross multiply
    304,121.78x = 419,680.60 × 168,152.14
  4. Step 4: Simplify right side
    304,121.78x = 70,570,191,006.48
  5. Step 5: Solve for x
    x = 70,570,191,006.48/304,121.78
  6. Step 6: Final answer
    x = 232,045.83

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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.