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Finding the Fourth Proportional to 260,021.80, 389,741.10 and 133,613.20

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Solution

The fourth proportional to 260,021.80, 389,741.10 and 133,613.20 is: 200,269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,021.80 : 389,741.10 = 133,613.20 : x
  2. Step 2: Convert to fraction form
    260,021.80/389,741.10 = 133,613.20/x
  3. Step 3: Cross multiply
    260,021.80x = 389,741.10 × 133,613.20
  4. Step 4: Simplify right side
    260,021.80x = 52,074,555,542.52
  5. Step 5: Solve for x
    x = 52,074,555,542.52/260,021.80
  6. Step 6: Final answer
    x = 200,269.96

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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.