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Finding the Fourth Proportional to 225,758, 311,555.76 and 125,156

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Solution

The fourth proportional to 225,758, 311,555.76 and 125,156 is: 172,720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,758 : 311,555.76 = 125,156 : x
  2. Step 2: Convert to fraction form
    225,758/311,555.76 = 125,156/x
  3. Step 3: Cross multiply
    225,758x = 311,555.76 × 125,156
  4. Step 4: Simplify right side
    225,758x = 38,993,072,698.56
  5. Step 5: Solve for x
    x = 38,993,072,698.56/225,758
  6. Step 6: Final answer
    x = 172,720.67

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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.