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Finding the Fourth Proportional to 225,926.90, 338,653.88 and 76,115.42

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Solution

The fourth proportional to 225,926.90, 338,653.88 and 76,115.42 is: 114,093.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,926.90 : 338,653.88 = 76,115.42 : x
  2. Step 2: Convert to fraction form
    225,926.90/338,653.88 = 76,115.42/x
  3. Step 3: Cross multiply
    225,926.90x = 338,653.88 × 76,115.42
  4. Step 4: Simplify right side
    225,926.90x = 25,776,780,236.98
  5. Step 5: Solve for x
    x = 25,776,780,236.98/225,926.90
  6. Step 6: Final answer
    x = 114,093.46

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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.