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Finding the Fourth Proportional to 226,034.28, 338,815.08 and 76,222.80

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Solution

The fourth proportional to 226,034.28, 338,815.08 and 76,222.80 is: 114,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,034.28 : 338,815.08 = 76,222.80 : x
  2. Step 2: Convert to fraction form
    226,034.28/338,815.08 = 76,222.80/x
  3. Step 3: Cross multiply
    226,034.28x = 338,815.08 × 76,222.80
  4. Step 4: Simplify right side
    226,034.28x = 25,825,434,079.82
  5. Step 5: Solve for x
    x = 25,825,434,079.82/226,034.28
  6. Step 6: Final answer
    x = 114,254.50

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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.