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Finding the Fourth Proportional to 140,309, 193,690.16 and 89,391.56

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Solution

The fourth proportional to 140,309, 193,690.16 and 89,391.56 is: 123,400.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,309 : 193,690.16 = 89,391.56 : x
  2. Step 2: Convert to fraction form
    140,309/193,690.16 = 89,391.56/x
  3. Step 3: Cross multiply
    140,309x = 193,690.16 × 89,391.56
  4. Step 4: Simplify right side
    140,309x = 17,314,265,559.05
  5. Step 5: Solve for x
    x = 17,314,265,559.05/140,309
  6. Step 6: Final answer
    x = 123,400.96

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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.