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Finding the Fourth Proportional to 105,546.63, 145,654.56 and 57,149.06

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Solution

The fourth proportional to 105,546.63, 145,654.56 and 57,149.06 is: 78,865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,546.63 : 145,654.56 = 57,149.06 : x
  2. Step 2: Convert to fraction form
    105,546.63/145,654.56 = 57,149.06/x
  3. Step 3: Cross multiply
    105,546.63x = 145,654.56 × 57,149.06
  4. Step 4: Simplify right side
    105,546.63x = 8,324,021,552.85
  5. Step 5: Solve for x
    x = 8,324,021,552.85/105,546.63
  6. Step 6: Final answer
    x = 78,865.82

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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.