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Finding the Fourth Proportional to 302,141.52, 416,958.08 and 164,321.73

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Solution

The fourth proportional to 302,141.52, 416,958.08 and 164,321.73 is: 226,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,141.52 : 416,958.08 = 164,321.73 : x
  2. Step 2: Convert to fraction form
    302,141.52/416,958.08 = 164,321.73/x
  3. Step 3: Cross multiply
    302,141.52x = 416,958.08 × 164,321.73
  4. Step 4: Simplify right side
    302,141.52x = 68,515,272,221.47
  5. Step 5: Solve for x
    x = 68,515,272,221.47/302,141.52
  6. Step 6: Final answer
    x = 226,765.50

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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.