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Finding the Fourth Proportional to 225,811.70, 338,718.14 and 76,157.10

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Solution

The fourth proportional to 225,811.70, 338,718.14 and 76,157.10 is: 114,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,811.70 : 338,718.14 = 76,157.10 : x
  2. Step 2: Convert to fraction form
    225,811.70/338,718.14 = 76,157.10/x
  3. Step 3: Cross multiply
    225,811.70x = 338,718.14 × 76,157.10
  4. Step 4: Simplify right side
    225,811.70x = 25,795,790,879.01
  5. Step 5: Solve for x
    x = 25,795,790,879.01/225,811.70
  6. Step 6: Final answer
    x = 114,235.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.