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Finding the Fourth Proportional to 140,551.14, 193,960.56 and 76,889.40

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Solution

The fourth proportional to 140,551.14, 193,960.56 and 76,889.40 is: 106,107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,551.14 : 193,960.56 = 76,889.40 : x
  2. Step 2: Convert to fraction form
    140,551.14/193,960.56 = 76,889.40/x
  3. Step 3: Cross multiply
    140,551.14x = 193,960.56 × 76,889.40
  4. Step 4: Simplify right side
    140,551.14x = 14,913,511,082.06
  5. Step 5: Solve for x
    x = 14,913,511,082.06/140,551.14
  6. Step 6: Final answer
    x = 106,107.36

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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.