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Finding the Fourth Proportional to 304,081.64, 419,630.46 and 168,121.52

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Solution

The fourth proportional to 304,081.64, 419,630.46 and 168,121.52 is: 232,006.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,081.64 : 419,630.46 = 168,121.52 : x
  2. Step 2: Convert to fraction form
    304,081.64/419,630.46 = 168,121.52/x
  3. Step 3: Cross multiply
    304,081.64x = 419,630.46 × 168,121.52
  4. Step 4: Simplify right side
    304,081.64x = 70,548,910,773.50
  5. Step 5: Solve for x
    x = 70,548,910,773.50/304,081.64
  6. Step 6: Final answer
    x = 232,006.48

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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.