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Finding the Fourth Proportional to 301,076.24, 415,485.78 and 165,111.14

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Solution

The fourth proportional to 301,076.24, 415,485.78 and 165,111.14 is: 227,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,076.24 : 415,485.78 = 165,111.14 : x
  2. Step 2: Convert to fraction form
    301,076.24/415,485.78 = 165,111.14/x
  3. Step 3: Cross multiply
    301,076.24x = 415,485.78 × 165,111.14
  4. Step 4: Simplify right side
    301,076.24x = 68,601,328,712.16
  5. Step 5: Solve for x
    x = 68,601,328,712.16/301,076.24
  6. Step 6: Final answer
    x = 227,853.68

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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.