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Finding the Fourth Proportional to 301,187.92, 415,643.20 and 165,213.04

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Solution

The fourth proportional to 301,187.92, 415,643.20 and 165,213.04 is: 227,996.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,187.92 : 415,643.20 = 165,213.04 : x
  2. Step 2: Convert to fraction form
    301,187.92/415,643.20 = 165,213.04/x
  3. Step 3: Cross multiply
    301,187.92x = 415,643.20 × 165,213.04
  4. Step 4: Simplify right side
    301,187.92x = 68,669,676,627.33
  5. Step 5: Solve for x
    x = 68,669,676,627.33/301,187.92
  6. Step 6: Final answer
    x = 227,996.12

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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.