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Finding the Fourth Proportional to 225,513.72, 338,309.66 and 75,768.62

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Solution

The fourth proportional to 225,513.72, 338,309.66 and 75,768.62 is: 113,666.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,513.72 : 338,309.66 = 75,768.62 : x
  2. Step 2: Convert to fraction form
    225,513.72/338,309.66 = 75,768.62/x
  3. Step 3: Cross multiply
    225,513.72x = 338,309.66 × 75,768.62
  4. Step 4: Simplify right side
    225,513.72x = 25,633,254,568.74
  5. Step 5: Solve for x
    x = 25,633,254,568.74/225,513.72
  6. Step 6: Final answer
    x = 113,666.05

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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.