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Finding the Fourth Proportional to 82,415.30, 122,930.11 and 74,847.36

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Solution

The fourth proportional to 82,415.30, 122,930.11 and 74,847.36 is: 111,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,415.30 : 122,930.11 = 74,847.36 : x
  2. Step 2: Convert to fraction form
    82,415.30/122,930.11 = 74,847.36/x
  3. Step 3: Cross multiply
    82,415.30x = 122,930.11 × 74,847.36
  4. Step 4: Simplify right side
    82,415.30x = 9,200,993,823.77
  5. Step 5: Solve for x
    x = 9,200,993,823.77/82,415.30
  6. Step 6: Final answer
    x = 111,641.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.