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Finding the Fourth Proportional to 225,743.94, 311,530.14 and 123,778.71

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Solution

The fourth proportional to 225,743.94, 311,530.14 and 123,778.71 is: 170,816.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,743.94 : 311,530.14 = 123,778.71 : x
  2. Step 2: Convert to fraction form
    225,743.94/311,530.14 = 123,778.71/x
  3. Step 3: Cross multiply
    225,743.94x = 311,530.14 × 123,778.71
  4. Step 4: Simplify right side
    225,743.94x = 38,560,798,855.32
  5. Step 5: Solve for x
    x = 38,560,798,855.32/225,743.94
  6. Step 6: Final answer
    x = 170,816.54

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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.