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Finding the Fourth Proportional to 259,809.40, 389,714.10 and 133,838.20

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Solution

The fourth proportional to 259,809.40, 389,714.10 and 133,838.20 is: 200,757.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,809.40 : 389,714.10 = 133,838.20 : x
  2. Step 2: Convert to fraction form
    259,809.40/389,714.10 = 133,838.20/x
  3. Step 3: Cross multiply
    259,809.40x = 389,714.10 × 133,838.20
  4. Step 4: Simplify right side
    259,809.40x = 52,158,633,658.62
  5. Step 5: Solve for x
    x = 52,158,633,658.62/259,809.40
  6. Step 6: Final answer
    x = 200,757.30

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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.