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Finding the Fourth Proportional to 123,977.60, 171,132.96 and 73,676

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Solution

The fourth proportional to 123,977.60, 171,132.96 and 73,676 is: 101,698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,977.60 : 171,132.96 = 73,676 : x
  2. Step 2: Convert to fraction form
    123,977.60/171,132.96 = 73,676/x
  3. Step 3: Cross multiply
    123,977.60x = 171,132.96 × 73,676
  4. Step 4: Simplify right side
    123,977.60x = 12,608,391,960.96
  5. Step 5: Solve for x
    x = 12,608,391,960.96/123,977.60
  6. Step 6: Final answer
    x = 101,698.95

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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.