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Finding the Fourth Proportional to 302,142.52, 416,959.46 and 164,322.73

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Solution

The fourth proportional to 302,142.52, 416,959.46 and 164,322.73 is: 226,766.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,142.52 : 416,959.46 = 164,322.73 : x
  2. Step 2: Convert to fraction form
    302,142.52/416,959.46 = 164,322.73/x
  3. Step 3: Cross multiply
    302,142.52x = 416,959.46 × 164,322.73
  4. Step 4: Simplify right side
    302,142.52x = 68,515,916,766.53
  5. Step 5: Solve for x
    x = 68,515,916,766.53/302,142.52
  6. Step 6: Final answer
    x = 226,766.88

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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.