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Finding the Fourth Proportional to 133,111.56, 199,714.86 and 57,178.20

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Solution

The fourth proportional to 133,111.56, 199,714.86 and 57,178.20 is: 85,787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,111.56 : 199,714.86 = 57,178.20 : x
  2. Step 2: Convert to fraction form
    133,111.56/199,714.86 = 57,178.20/x
  3. Step 3: Cross multiply
    133,111.56x = 199,714.86 × 57,178.20
  4. Step 4: Simplify right side
    133,111.56x = 11,419,336,208.05
  5. Step 5: Solve for x
    x = 11,419,336,208.05/133,111.56
  6. Step 6: Final answer
    x = 85,787.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.