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Finding the Fourth Proportional to 283,910.82, 425,866.20 and 73,548.78

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Solution

The fourth proportional to 283,910.82, 425,866.20 and 73,548.78 is: 110,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,910.82 : 425,866.20 = 73,548.78 : x
  2. Step 2: Convert to fraction form
    283,910.82/425,866.20 = 73,548.78/x
  3. Step 3: Cross multiply
    283,910.82x = 425,866.20 × 73,548.78
  4. Step 4: Simplify right side
    283,910.82x = 31,321,939,453.24
  5. Step 5: Solve for x
    x = 31,321,939,453.24/283,910.82
  6. Step 6: Final answer
    x = 110,323.16

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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.