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Finding the Fourth Proportional to 230,723.80, 346,085.70 and 191,843.80

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Solution

The fourth proportional to 230,723.80, 346,085.70 and 191,843.80 is: 287,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,723.80 : 346,085.70 = 191,843.80 : x
  2. Step 2: Convert to fraction form
    230,723.80/346,085.70 = 191,843.80/x
  3. Step 3: Cross multiply
    230,723.80x = 346,085.70 × 191,843.80
  4. Step 4: Simplify right side
    230,723.80x = 66,394,395,813.66
  5. Step 5: Solve for x
    x = 66,394,395,813.66/230,723.80
  6. Step 6: Final answer
    x = 287,765.70

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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.