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Finding the Fourth Proportional to 140,665.84, 194,111.58 and 76,991.56

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Solution

The fourth proportional to 140,665.84, 194,111.58 and 76,991.56 is: 106,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,665.84 : 194,111.58 = 76,991.56 : x
  2. Step 2: Convert to fraction form
    140,665.84/194,111.58 = 76,991.56/x
  3. Step 3: Cross multiply
    140,665.84x = 194,111.58 × 76,991.56
  4. Step 4: Simplify right side
    140,665.84x = 14,944,953,358.26
  5. Step 5: Solve for x
    x = 14,944,953,358.26/140,665.84
  6. Step 6: Final answer
    x = 106,244.37

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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.