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Finding the Fourth Proportional to 283,402.80, 425,104.20 and 194,929.20

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Solution

The fourth proportional to 283,402.80, 425,104.20 and 194,929.20 is: 292,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,402.80 : 425,104.20 = 194,929.20 : x
  2. Step 2: Convert to fraction form
    283,402.80/425,104.20 = 194,929.20/x
  3. Step 3: Cross multiply
    283,402.80x = 425,104.20 × 194,929.20
  4. Step 4: Simplify right side
    283,402.80x = 82,865,221,622.64
  5. Step 5: Solve for x
    x = 82,865,221,622.64/283,402.80
  6. Step 6: Final answer
    x = 292,393.80

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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.