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Finding the Fourth Proportional to 283,756.24, 425,634.36 and 96,769.36

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Solution

The fourth proportional to 283,756.24, 425,634.36 and 96,769.36 is: 145,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,756.24 : 425,634.36 = 96,769.36 : x
  2. Step 2: Convert to fraction form
    283,756.24/425,634.36 = 96,769.36/x
  3. Step 3: Cross multiply
    283,756.24x = 425,634.36 × 96,769.36
  4. Step 4: Simplify right side
    283,756.24x = 41,188,364,611.21
  5. Step 5: Solve for x
    x = 41,188,364,611.21/283,756.24
  6. Step 6: Final answer
    x = 145,154.04

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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.