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Finding the Fourth Proportional to 225,944.76, 311,830.38 and 125,349.24

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Solution

The fourth proportional to 225,944.76, 311,830.38 and 125,349.24 is: 172,996.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,944.76 : 311,830.38 = 125,349.24 : x
  2. Step 2: Convert to fraction form
    225,944.76/311,830.38 = 125,349.24/x
  3. Step 3: Cross multiply
    225,944.76x = 311,830.38 × 125,349.24
  4. Step 4: Simplify right side
    225,944.76x = 39,087,701,141.91
  5. Step 5: Solve for x
    x = 39,087,701,141.91/225,944.76
  6. Step 6: Final answer
    x = 172,996.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.