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Finding the Fourth Proportional to 226,022.95, 339,198.27 and 83,888.46

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Solution

The fourth proportional to 226,022.95, 339,198.27 and 83,888.46 is: 125,893.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,022.95 : 339,198.27 = 83,888.46 : x
  2. Step 2: Convert to fraction form
    226,022.95/339,198.27 = 83,888.46/x
  3. Step 3: Cross multiply
    226,022.95x = 339,198.27 × 83,888.46
  4. Step 4: Simplify right side
    226,022.95x = 28,454,818,808.97
  5. Step 5: Solve for x
    x = 28,454,818,808.97/226,022.95
  6. Step 6: Final answer
    x = 125,893.49

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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.