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Finding the Fourth Proportional to 283,083.35, 424,625.00 and 194,066.96

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Solution

The fourth proportional to 283,083.35, 424,625.00 and 194,066.96 is: 291,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,083.35 : 424,625.00 = 194,066.96 : x
  2. Step 2: Convert to fraction form
    283,083.35/424,625.00 = 194,066.96/x
  3. Step 3: Cross multiply
    283,083.35x = 424,625.00 × 194,066.96
  4. Step 4: Simplify right side
    283,083.35x = 82,405,679,796.54
  5. Step 5: Solve for x
    x = 82,405,679,796.54/283,083.35
  6. Step 6: Final answer
    x = 291,100.42

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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.