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Finding the Fourth Proportional to 300,089.26, 414,107.84 and 164,096.79

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Solution

The fourth proportional to 300,089.26, 414,107.84 and 164,096.79 is: 226,445.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,089.26 : 414,107.84 = 164,096.79 : x
  2. Step 2: Convert to fraction form
    300,089.26/414,107.84 = 164,096.79/x
  3. Step 3: Cross multiply
    300,089.26x = 414,107.84 × 164,096.79
  4. Step 4: Simplify right side
    300,089.26x = 67,953,766,115.17
  5. Step 5: Solve for x
    x = 67,953,766,115.17/300,089.26
  6. Step 6: Final answer
    x = 226,445.18

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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.