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Finding the Fourth Proportional to 301,084.82, 415,476.39 and 165,090.54

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Solution

The fourth proportional to 301,084.82, 415,476.39 and 165,090.54 is: 227,813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,084.82 : 415,476.39 = 165,090.54 : x
  2. Step 2: Convert to fraction form
    301,084.82/415,476.39 = 165,090.54/x
  3. Step 3: Cross multiply
    301,084.82x = 415,476.39 × 165,090.54
  4. Step 4: Simplify right side
    301,084.82x = 68,591,221,582.35
  5. Step 5: Solve for x
    x = 68,591,221,582.35/301,084.82
  6. Step 6: Final answer
    x = 227,813.62

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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.