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Finding the Fourth Proportional to 140,845, 194,366.28 and 77,185.12

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Solution

The fourth proportional to 140,845, 194,366.28 and 77,185.12 is: 106,515.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,845 : 194,366.28 = 77,185.12 : x
  2. Step 2: Convert to fraction form
    140,845/194,366.28 = 77,185.12/x
  3. Step 3: Cross multiply
    140,845x = 194,366.28 × 77,185.12
  4. Step 4: Simplify right side
    140,845x = 15,002,184,645.75
  5. Step 5: Solve for x
    x = 15,002,184,645.75/140,845
  6. Step 6: Final answer
    x = 106,515.56

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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.