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Finding the Fourth Proportional to 226,473.40, 339,969.30 and 133,031.80

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Solution

The fourth proportional to 226,473.40, 339,969.30 and 133,031.80 is: 199,699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,473.40 : 339,969.30 = 133,031.80 : x
  2. Step 2: Convert to fraction form
    226,473.40/339,969.30 = 133,031.80/x
  3. Step 3: Cross multiply
    226,473.40x = 339,969.30 × 133,031.80
  4. Step 4: Simplify right side
    226,473.40x = 45,226,727,923.74
  5. Step 5: Solve for x
    x = 45,226,727,923.74/226,473.40
  6. Step 6: Final answer
    x = 199,699.96

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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.