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Finding the Fourth Proportional to 238,593.30, 357,880.59 and 80,821.74

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Solution

The fourth proportional to 238,593.30, 357,880.59 and 80,821.74 is: 121,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,593.30 : 357,880.59 = 80,821.74 : x
  2. Step 2: Convert to fraction form
    238,593.30/357,880.59 = 80,821.74/x
  3. Step 3: Cross multiply
    238,593.30x = 357,880.59 × 80,821.74
  4. Step 4: Simplify right side
    238,593.30x = 28,924,531,996.03
  5. Step 5: Solve for x
    x = 28,924,531,996.03/238,593.30
  6. Step 6: Final answer
    x = 121,229.44

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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.