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Finding the Fourth Proportional to 102,896.80, 154,114.80 and 84,464.80

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Solution

The fourth proportional to 102,896.80, 154,114.80 and 84,464.80 is: 126,508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,896.80 : 154,114.80 = 84,464.80 : x
  2. Step 2: Convert to fraction form
    102,896.80/154,114.80 = 84,464.80/x
  3. Step 3: Cross multiply
    102,896.80x = 154,114.80 × 84,464.80
  4. Step 4: Simplify right side
    102,896.80x = 13,017,275,759.04
  5. Step 5: Solve for x
    x = 13,017,275,759.04/102,896.80
  6. Step 6: Final answer
    x = 126,508.07

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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.