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Finding the Fourth Proportional to 300,097.80, 414,118.26 and 164,104.68

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Solution

The fourth proportional to 300,097.80, 414,118.26 and 164,104.68 is: 226,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,097.80 : 414,118.26 = 164,104.68 : x
  2. Step 2: Convert to fraction form
    300,097.80/414,118.26 = 164,104.68/x
  3. Step 3: Cross multiply
    300,097.80x = 414,118.26 × 164,104.68
  4. Step 4: Simplify right side
    300,097.80x = 67,958,744,539.46
  5. Step 5: Solve for x
    x = 67,958,744,539.46/300,097.80
  6. Step 6: Final answer
    x = 226,455.32

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1.5x scale

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.