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Finding the Fourth Proportional to 99,823.73, 137,723.67 and 65,849.09

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Solution

The fourth proportional to 99,823.73, 137,723.67 and 65,849.09 is: 90,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,823.73 : 137,723.67 = 65,849.09 : x
  2. Step 2: Convert to fraction form
    99,823.73/137,723.67 = 65,849.09/x
  3. Step 3: Cross multiply
    99,823.73x = 137,723.67 × 65,849.09
  4. Step 4: Simplify right side
    99,823.73x = 9,068,978,340.96
  5. Step 5: Solve for x
    x = 9,068,978,340.96/99,823.73
  6. Step 6: Final answer
    x = 90,849.92

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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.