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Finding the Fourth Proportional to 442,771.09, 664,107.42 and 158,450.15

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Solution

The fourth proportional to 442,771.09, 664,107.42 and 158,450.15 is: 237,657.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,771.09 : 664,107.42 = 158,450.15 : x
  2. Step 2: Convert to fraction form
    442,771.09/664,107.42 = 158,450.15/x
  3. Step 3: Cross multiply
    442,771.09x = 664,107.42 × 158,450.15
  4. Step 4: Simplify right side
    442,771.09x = 105,227,920,315.11
  5. Step 5: Solve for x
    x = 105,227,920,315.11/442,771.09
  6. Step 6: Final answer
    x = 237,657.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.