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Finding the Fourth Proportional to 301,130.25, 415,556.89 and 165,161.42

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Solution

The fourth proportional to 301,130.25, 415,556.89 and 165,161.42 is: 227,921.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,130.25 : 415,556.89 = 165,161.42 : x
  2. Step 2: Convert to fraction form
    301,130.25/415,556.89 = 165,161.42/x
  3. Step 3: Cross multiply
    301,130.25x = 415,556.89 × 165,161.42
  4. Step 4: Simplify right side
    301,130.25x = 68,633,966,043.18
  5. Step 5: Solve for x
    x = 68,633,966,043.18/301,130.25
  6. Step 6: Final answer
    x = 227,921.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.