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Finding the Fourth Proportional to 301,104.92, 415,523.95 and 172,083.43

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Solution

The fourth proportional to 301,104.92, 415,523.95 and 172,083.43 is: 237,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,104.92 : 415,523.95 = 172,083.43 : x
  2. Step 2: Convert to fraction form
    301,104.92/415,523.95 = 172,083.43/x
  3. Step 3: Cross multiply
    301,104.92x = 415,523.95 × 172,083.43
  4. Step 4: Simplify right side
    301,104.92x = 71,504,785,094.13
  5. Step 5: Solve for x
    x = 71,504,785,094.13/301,104.92
  6. Step 6: Final answer
    x = 237,474.65

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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.