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Finding the Fourth Proportional to 226,322.40, 339,742.80 and 132,880.80

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Solution

The fourth proportional to 226,322.40, 339,742.80 and 132,880.80 is: 199,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,322.40 : 339,742.80 = 132,880.80 : x
  2. Step 2: Convert to fraction form
    226,322.40/339,742.80 = 132,880.80/x
  3. Step 3: Cross multiply
    226,322.40x = 339,742.80 × 132,880.80
  4. Step 4: Simplify right side
    226,322.40x = 45,145,295,058.24
  5. Step 5: Solve for x
    x = 45,145,295,058.24/226,322.40
  6. Step 6: Final answer
    x = 199,473.38

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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.