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Finding the Fourth Proportional to 283,814.21, 425,597.95 and 81,365.73

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Solution

The fourth proportional to 283,814.21, 425,597.95 and 81,365.73 is: 122,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,814.21 : 425,597.95 = 81,365.73 : x
  2. Step 2: Convert to fraction form
    283,814.21/425,597.95 = 81,365.73/x
  3. Step 3: Cross multiply
    283,814.21x = 425,597.95 × 81,365.73
  4. Step 4: Simplify right side
    283,814.21x = 34,629,087,888.25
  5. Step 5: Solve for x
    x = 34,629,087,888.25/283,814.21
  6. Step 6: Final answer
    x = 122,013.23

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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.