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Finding the Fourth Proportional to 283,904.82, 425,857.22 and 73,542.75

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Solution

The fourth proportional to 283,904.82, 425,857.22 and 73,542.75 is: 110,314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,904.82 : 425,857.22 = 73,542.75 : x
  2. Step 2: Convert to fraction form
    283,904.82/425,857.22 = 73,542.75/x
  3. Step 3: Cross multiply
    283,904.82x = 425,857.22 × 73,542.75
  4. Step 4: Simplify right side
    283,904.82x = 31,318,710,698.44
  5. Step 5: Solve for x
    x = 31,318,710,698.44/283,904.82
  6. Step 6: Final answer
    x = 110,314.12

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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.