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Finding the Fourth Proportional to 82,077.58, 113,458.38 and 73,212.94

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Solution

The fourth proportional to 82,077.58, 113,458.38 and 73,212.94 is: 101,204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,077.58 : 113,458.38 = 73,212.94 : x
  2. Step 2: Convert to fraction form
    82,077.58/113,458.38 = 73,212.94/x
  3. Step 3: Cross multiply
    82,077.58x = 113,458.38 × 73,212.94
  4. Step 4: Simplify right side
    82,077.58x = 8,306,621,567.44
  5. Step 5: Solve for x
    x = 8,306,621,567.44/82,077.58
  6. Step 6: Final answer
    x = 101,204.51

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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.