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Finding the Fourth Proportional to 143,623, 198,234.65 and 83,183.89

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Solution

The fourth proportional to 143,623, 198,234.65 and 83,183.89 is: 114,813.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,623 : 198,234.65 = 83,183.89 : x
  2. Step 2: Convert to fraction form
    143,623/198,234.65 = 83,183.89/x
  3. Step 3: Cross multiply
    143,623x = 198,234.65 × 83,183.89
  4. Step 4: Simplify right side
    143,623x = 16,489,929,319.79
  5. Step 5: Solve for x
    x = 16,489,929,319.79/143,623
  6. Step 6: Final answer
    x = 114,813.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.