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Finding the Fourth Proportional to 226,438.80, 339,658.20 and 102,022.80

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Solution

The fourth proportional to 226,438.80, 339,658.20 and 102,022.80 is: 153,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,438.80 : 339,658.20 = 102,022.80 : x
  2. Step 2: Convert to fraction form
    226,438.80/339,658.20 = 102,022.80/x
  3. Step 3: Cross multiply
    226,438.80x = 339,658.20 × 102,022.80
  4. Step 4: Simplify right side
    226,438.80x = 34,652,880,606.96
  5. Step 5: Solve for x
    x = 34,652,880,606.96/226,438.80
  6. Step 6: Final answer
    x = 153,034.20

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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.