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Finding the Fourth Proportional to 226,885, 313,101.30 and 126,280.84

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Solution

The fourth proportional to 226,885, 313,101.30 and 126,280.84 is: 174,267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,885 : 313,101.30 = 126,280.84 : x
  2. Step 2: Convert to fraction form
    226,885/313,101.30 = 126,280.84/x
  3. Step 3: Cross multiply
    226,885x = 313,101.30 × 126,280.84
  4. Step 4: Simplify right side
    226,885x = 39,538,695,169.09
  5. Step 5: Solve for x
    x = 39,538,695,169.09/226,885
  6. Step 6: Final answer
    x = 174,267.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.