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Finding the Fourth Proportional to 133,443.48, 200,206.26 and 71,067

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Solution

The fourth proportional to 133,443.48, 200,206.26 and 71,067 is: 106,622.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,443.48 : 200,206.26 = 71,067 : x
  2. Step 2: Convert to fraction form
    133,443.48/200,206.26 = 71,067/x
  3. Step 3: Cross multiply
    133,443.48x = 200,206.26 × 71,067
  4. Step 4: Simplify right side
    133,443.48x = 14,228,058,279.42
  5. Step 5: Solve for x
    x = 14,228,058,279.42/133,443.48
  6. Step 6: Final answer
    x = 106,622.36

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1.5x scale

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.