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Finding the Fourth Proportional to 229,697.64, 344,546.46 and 71,938.44

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Solution

The fourth proportional to 229,697.64, 344,546.46 and 71,938.44 is: 107,907.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,697.64 : 344,546.46 = 71,938.44 : x
  2. Step 2: Convert to fraction form
    229,697.64/344,546.46 = 71,938.44/x
  3. Step 3: Cross multiply
    229,697.64x = 344,546.46 × 71,938.44
  4. Step 4: Simplify right side
    229,697.64x = 24,786,134,839.92
  5. Step 5: Solve for x
    x = 24,786,134,839.92/229,697.64
  6. Step 6: Final answer
    x = 107,907.66

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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.