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Finding the Fourth Proportional to 301,262.25, 415,741.92 and 167,126.25

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Solution

The fourth proportional to 301,262.25, 415,741.92 and 167,126.25 is: 230,634.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,262.25 : 415,741.92 = 167,126.25 : x
  2. Step 2: Convert to fraction form
    301,262.25/415,741.92 = 167,126.25/x
  3. Step 3: Cross multiply
    301,262.25x = 415,741.92 × 167,126.25
  4. Step 4: Simplify right side
    301,262.25x = 69,481,388,057.40
  5. Step 5: Solve for x
    x = 69,481,388,057.40/301,262.25
  6. Step 6: Final answer
    x = 230,634.23

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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.