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Finding the Fourth Proportional to 225,419.12, 311,007.84 and 129,912.76

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Solution

The fourth proportional to 225,419.12, 311,007.84 and 129,912.76 is: 179,238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,419.12 : 311,007.84 = 129,912.76 : x
  2. Step 2: Convert to fraction form
    225,419.12/311,007.84 = 129,912.76/x
  3. Step 3: Cross multiply
    225,419.12x = 311,007.84 × 129,912.76
  4. Step 4: Simplify right side
    225,419.12x = 40,403,886,876.04
  5. Step 5: Solve for x
    x = 40,403,886,876.04/225,419.12
  6. Step 6: Final answer
    x = 179,238.95

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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.