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Finding the Fourth Proportional to 229,715.64, 344,573.46 and 71,956.44

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Solution

The fourth proportional to 229,715.64, 344,573.46 and 71,956.44 is: 107,934.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,715.64 : 344,573.46 = 71,956.44 : x
  2. Step 2: Convert to fraction form
    229,715.64/344,573.46 = 71,956.44/x
  3. Step 3: Cross multiply
    229,715.64x = 344,573.46 × 71,956.44
  4. Step 4: Simplify right side
    229,715.64x = 24,794,279,500.08
  5. Step 5: Solve for x
    x = 24,794,279,500.08/229,715.64
  6. Step 6: Final answer
    x = 107,934.66

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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.