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Finding the Fourth Proportional to 300,302.12, 414,416.94 and 164,336.08

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Solution

The fourth proportional to 300,302.12, 414,416.94 and 164,336.08 is: 226,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,302.12 : 414,416.94 = 164,336.08 : x
  2. Step 2: Convert to fraction form
    300,302.12/414,416.94 = 164,336.08/x
  3. Step 3: Cross multiply
    300,302.12x = 414,416.94 × 164,336.08
  4. Step 4: Simplify right side
    300,302.12x = 68,103,654,004.92
  5. Step 5: Solve for x
    x = 68,103,654,004.92/300,302.12
  6. Step 6: Final answer
    x = 226,783.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.