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Finding the Fourth Proportional to 260,049.80, 389,783.10 and 133,641.20

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Solution

The fourth proportional to 260,049.80, 389,783.10 and 133,641.20 is: 200,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,049.80 : 389,783.10 = 133,641.20 : x
  2. Step 2: Convert to fraction form
    260,049.80/389,783.10 = 133,641.20/x
  3. Step 3: Cross multiply
    260,049.80x = 389,783.10 × 133,641.20
  4. Step 4: Simplify right side
    260,049.80x = 52,091,081,223.72
  5. Step 5: Solve for x
    x = 52,091,081,223.72/260,049.80
  6. Step 6: Final answer
    x = 200,311.94

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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.