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Finding the Fourth Proportional to 140,313.12, 193,542 and 85,839.84

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Solution

The fourth proportional to 140,313.12, 193,542 and 85,839.84 is: 118,403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,313.12 : 193,542 = 85,839.84 : x
  2. Step 2: Convert to fraction form
    140,313.12/193,542 = 85,839.84/x
  3. Step 3: Cross multiply
    140,313.12x = 193,542 × 85,839.84
  4. Step 4: Simplify right side
    140,313.12x = 16,613,614,313.28
  5. Step 5: Solve for x
    x = 16,613,614,313.28/140,313.12
  6. Step 6: Final answer
    x = 118,403.85

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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.