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Finding the Fourth Proportional to 231,724.40, 347,592.64 and 73,952.64

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Solution

The fourth proportional to 231,724.40, 347,592.64 and 73,952.64 is: 110,930.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,724.40 : 347,592.64 = 73,952.64 : x
  2. Step 2: Convert to fraction form
    231,724.40/347,592.64 = 73,952.64/x
  3. Step 3: Cross multiply
    231,724.40x = 347,592.64 × 73,952.64
  4. Step 4: Simplify right side
    231,724.40x = 25,705,393,372.57
  5. Step 5: Solve for x
    x = 25,705,393,372.57/231,724.40
  6. Step 6: Final answer
    x = 110,930.89

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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.