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Finding the Fourth Proportional to 301,088.82, 415,481.91 and 165,094.54

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Solution

The fourth proportional to 301,088.82, 415,481.91 and 165,094.54 is: 227,819.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,088.82 : 415,481.91 = 165,094.54 : x
  2. Step 2: Convert to fraction form
    301,088.82/415,481.91 = 165,094.54/x
  3. Step 3: Cross multiply
    301,088.82x = 415,481.91 × 165,094.54
  4. Step 4: Simplify right side
    301,088.82x = 68,593,794,809.77
  5. Step 5: Solve for x
    x = 68,593,794,809.77/301,088.82
  6. Step 6: Final answer
    x = 227,819.14

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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.