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Finding the Fourth Proportional to 382,188.25, 573,351.31 and 157,425.98

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Solution

The fourth proportional to 382,188.25, 573,351.31 and 157,425.98 is: 236,167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,188.25 : 573,351.31 = 157,425.98 : x
  2. Step 2: Convert to fraction form
    382,188.25/573,351.31 = 157,425.98/x
  3. Step 3: Cross multiply
    382,188.25x = 573,351.31 × 157,425.98
  4. Step 4: Simplify right side
    382,188.25x = 90,260,391,861.03
  5. Step 5: Solve for x
    x = 90,260,391,861.03/382,188.25
  6. Step 6: Final answer
    x = 236,167.37

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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.