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Finding the Fourth Proportional to 190,926, 263,477.97 and 106,043.76

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Solution

The fourth proportional to 190,926, 263,477.97 and 106,043.76 is: 146,340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,926 : 263,477.97 = 106,043.76 : x
  2. Step 2: Convert to fraction form
    190,926/263,477.97 = 106,043.76/x
  3. Step 3: Cross multiply
    190,926x = 263,477.97 × 106,043.76
  4. Step 4: Simplify right side
    190,926x = 27,940,194,615.97
  5. Step 5: Solve for x
    x = 27,940,194,615.97/190,926
  6. Step 6: Final answer
    x = 146,340.44

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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.