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Finding the Fourth Proportional to 283,763.20, 425,644.80 and 96,780.80

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Solution

The fourth proportional to 283,763.20, 425,644.80 and 96,780.80 is: 145,171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,763.20 : 425,644.80 = 96,780.80 : x
  2. Step 2: Convert to fraction form
    283,763.20/425,644.80 = 96,780.80/x
  3. Step 3: Cross multiply
    283,763.20x = 425,644.80 × 96,780.80
  4. Step 4: Simplify right side
    283,763.20x = 41,194,244,259.84
  5. Step 5: Solve for x
    x = 41,194,244,259.84/283,763.20
  6. Step 6: Final answer
    x = 145,171.20

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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.