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Finding the Fourth Proportional to 267,809.91, 401,819.40 and 117,944.88

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Solution

The fourth proportional to 267,809.91, 401,819.40 and 117,944.88 is: 176,963.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,809.91 : 401,819.40 = 117,944.88 : x
  2. Step 2: Convert to fraction form
    267,809.91/401,819.40 = 117,944.88/x
  3. Step 3: Cross multiply
    267,809.91x = 401,819.40 × 117,944.88
  4. Step 4: Simplify right side
    267,809.91x = 47,392,540,914.67
  5. Step 5: Solve for x
    x = 47,392,540,914.67/267,809.91
  6. Step 6: Final answer
    x = 176,963.36

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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.