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Finding the Fourth Proportional to 264,819.80, 397,252.38 and 75,280.88

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Solution

The fourth proportional to 264,819.80, 397,252.38 and 75,280.88 is: 112,927.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,819.80 : 397,252.38 = 75,280.88 : x
  2. Step 2: Convert to fraction form
    264,819.80/397,252.38 = 75,280.88/x
  3. Step 3: Cross multiply
    264,819.80x = 397,252.38 × 75,280.88
  4. Step 4: Simplify right side
    264,819.80x = 29,905,508,748.49
  5. Step 5: Solve for x
    x = 29,905,508,748.49/264,819.80
  6. Step 6: Final answer
    x = 112,927.77

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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.