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Finding the Fourth Proportional to 193,119.96, 289,680.12 and 109,839

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Solution

The fourth proportional to 193,119.96, 289,680.12 and 109,839 is: 164,758.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,119.96 : 289,680.12 = 109,839 : x
  2. Step 2: Convert to fraction form
    193,119.96/289,680.12 = 109,839/x
  3. Step 3: Cross multiply
    193,119.96x = 289,680.12 × 109,839
  4. Step 4: Simplify right side
    193,119.96x = 31,818,174,700.68
  5. Step 5: Solve for x
    x = 31,818,174,700.68/193,119.96
  6. Step 6: Final answer
    x = 164,758.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.