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Finding the Fourth Proportional to 225,819.83, 338,434.47 and 92,544.05

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Solution

The fourth proportional to 225,819.83, 338,434.47 and 92,544.05 is: 138,695.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,819.83 : 338,434.47 = 92,544.05 : x
  2. Step 2: Convert to fraction form
    225,819.83/338,434.47 = 92,544.05/x
  3. Step 3: Cross multiply
    225,819.83x = 338,434.47 × 92,544.05
  4. Step 4: Simplify right side
    225,819.83x = 31,320,097,359.49
  5. Step 5: Solve for x
    x = 31,320,097,359.49/225,819.83
  6. Step 6: Final answer
    x = 138,695.07

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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.