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Finding the Fourth Proportional to 422,151.82, 633,036.58 and 182,152.49

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Solution

The fourth proportional to 422,151.82, 633,036.58 and 182,152.49 is: 273,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,151.82 : 633,036.58 = 182,152.49 : x
  2. Step 2: Convert to fraction form
    422,151.82/633,036.58 = 182,152.49/x
  3. Step 3: Cross multiply
    422,151.82x = 633,036.58 × 182,152.49
  4. Step 4: Simplify right side
    422,151.82x = 115,309,185,687.52
  5. Step 5: Solve for x
    x = 115,309,185,687.52/422,151.82
  6. Step 6: Final answer
    x = 273,146.25

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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.