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Finding the Fourth Proportional to 225,458.58, 311,120.42 and 123,464.24

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Solution

The fourth proportional to 225,458.58, 311,120.42 and 123,464.24 is: 170,373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,458.58 : 311,120.42 = 123,464.24 : x
  2. Step 2: Convert to fraction form
    225,458.58/311,120.42 = 123,464.24/x
  3. Step 3: Cross multiply
    225,458.58x = 311,120.42 × 123,464.24
  4. Step 4: Simplify right side
    225,458.58x = 38,412,246,203.78
  5. Step 5: Solve for x
    x = 38,412,246,203.78/225,458.58
  6. Step 6: Final answer
    x = 170,373.85

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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.