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Finding the Fourth Proportional to 226,871.82, 340,097.43 and 100,444.69

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Solution

The fourth proportional to 226,871.82, 340,097.43 and 100,444.69 is: 150,573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,871.82 : 340,097.43 = 100,444.69 : x
  2. Step 2: Convert to fraction form
    226,871.82/340,097.43 = 100,444.69/x
  3. Step 3: Cross multiply
    226,871.82x = 340,097.43 × 100,444.69
  4. Step 4: Simplify right side
    226,871.82x = 34,160,981,727.94
  5. Step 5: Solve for x
    x = 34,160,981,727.94/226,871.82
  6. Step 6: Final answer
    x = 150,573.93

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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.