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Finding the Fourth Proportional to 232,098.44, 320,295.30 and 131,496.44

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Solution

The fourth proportional to 232,098.44, 320,295.30 and 131,496.44 is: 181,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,098.44 : 320,295.30 = 131,496.44 : x
  2. Step 2: Convert to fraction form
    232,098.44/320,295.30 = 131,496.44/x
  3. Step 3: Cross multiply
    232,098.44x = 320,295.30 × 131,496.44
  4. Step 4: Simplify right side
    232,098.44x = 42,117,691,698.73
  5. Step 5: Solve for x
    x = 42,117,691,698.73/232,098.44
  6. Step 6: Final answer
    x = 181,464.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.