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Finding the Fourth Proportional to 300,094.90, 414,115.61 and 164,102.42

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Solution

The fourth proportional to 300,094.90, 414,115.61 and 164,102.42 is: 226,452.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,094.90 : 414,115.61 = 164,102.42 : x
  2. Step 2: Convert to fraction form
    300,094.90/414,115.61 = 164,102.42/x
  3. Step 3: Cross multiply
    300,094.90x = 414,115.61 × 164,102.42
  4. Step 4: Simplify right side
    300,094.90x = 67,957,373,975.55
  5. Step 5: Solve for x
    x = 67,957,373,975.55/300,094.90
  6. Step 6: Final answer
    x = 226,452.95

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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.