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Finding the Fourth Proportional to 300,250, 414,358.14 and 166,114

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Solution

The fourth proportional to 300,250, 414,358.14 and 166,114 is: 229,244.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,250 : 414,358.14 = 166,114 : x
  2. Step 2: Convert to fraction form
    300,250/414,358.14 = 166,114/x
  3. Step 3: Cross multiply
    300,250x = 414,358.14 × 166,114
  4. Step 4: Simplify right side
    300,250x = 68,830,688,067.96
  5. Step 5: Solve for x
    x = 68,830,688,067.96/300,250
  6. Step 6: Final answer
    x = 229,244.59

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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.