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Finding the Fourth Proportional to 301,264.75, 415,745.37 and 167,128.75

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Solution

The fourth proportional to 301,264.75, 415,745.37 and 167,128.75 is: 230,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,264.75 : 415,745.37 = 167,128.75 : x
  2. Step 2: Convert to fraction form
    301,264.75/415,745.37 = 167,128.75/x
  3. Step 3: Cross multiply
    301,264.75x = 415,745.37 × 167,128.75
  4. Step 4: Simplify right side
    301,264.75x = 69,483,004,006.39
  5. Step 5: Solve for x
    x = 69,483,004,006.39/301,264.75
  6. Step 6: Final answer
    x = 230,637.68

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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.