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Finding the Fourth Proportional to 229,729.20, 344,593.80 and 177,241.20

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Solution

The fourth proportional to 229,729.20, 344,593.80 and 177,241.20 is: 265,861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,729.20 : 344,593.80 = 177,241.20 : x
  2. Step 2: Convert to fraction form
    229,729.20/344,593.80 = 177,241.20/x
  3. Step 3: Cross multiply
    229,729.20x = 344,593.80 × 177,241.20
  4. Step 4: Simplify right side
    229,729.20x = 61,076,218,624.56
  5. Step 5: Solve for x
    x = 61,076,218,624.56/229,729.20
  6. Step 6: Final answer
    x = 265,861.80

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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.