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Finding the Fourth Proportional to 225,811.82, 338,674.50 and 113,460.92

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Solution

The fourth proportional to 225,811.82, 338,674.50 and 113,460.92 is: 170,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,811.82 : 338,674.50 = 113,460.92 : x
  2. Step 2: Convert to fraction form
    225,811.82/338,674.50 = 113,460.92/x
  3. Step 3: Cross multiply
    225,811.82x = 338,674.50 × 113,460.92
  4. Step 4: Simplify right side
    225,811.82x = 38,426,320,350.54
  5. Step 5: Solve for x
    x = 38,426,320,350.54/225,811.82
  6. Step 6: Final answer
    x = 170,169.66

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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.