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Finding the Fourth Proportional to 196,034.92, 293,919.31 and 99,735.46

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Solution

The fourth proportional to 196,034.92, 293,919.31 and 99,735.46 is: 149,535.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,034.92 : 293,919.31 = 99,735.46 : x
  2. Step 2: Convert to fraction form
    196,034.92/293,919.31 = 99,735.46/x
  3. Step 3: Cross multiply
    196,034.92x = 293,919.31 × 99,735.46
  4. Step 4: Simplify right side
    196,034.92x = 29,314,177,585.73
  5. Step 5: Solve for x
    x = 29,314,177,585.73/196,034.92
  6. Step 6: Final answer
    x = 149,535.49

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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.