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Finding the Fourth Proportional to 226,907.80, 339,843.30 and 133,595.80

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Solution

The fourth proportional to 226,907.80, 339,843.30 and 133,595.80 is: 200,088.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,907.80 : 339,843.30 = 133,595.80 : x
  2. Step 2: Convert to fraction form
    226,907.80/339,843.30 = 133,595.80/x
  3. Step 3: Cross multiply
    226,907.80x = 339,843.30 × 133,595.80
  4. Step 4: Simplify right side
    226,907.80x = 45,401,637,538.14
  5. Step 5: Solve for x
    x = 45,401,637,538.14/226,907.80
  6. Step 6: Final answer
    x = 200,088.48

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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.