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Finding the Fourth Proportional to 195,998.96, 293,765.16 and 112,718

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Solution

The fourth proportional to 195,998.96, 293,765.16 and 112,718 is: 168,942.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,998.96 : 293,765.16 = 112,718 : x
  2. Step 2: Convert to fraction form
    195,998.96/293,765.16 = 112,718/x
  3. Step 3: Cross multiply
    195,998.96x = 293,765.16 × 112,718
  4. Step 4: Simplify right side
    195,998.96x = 33,112,621,304.88
  5. Step 5: Solve for x
    x = 33,112,621,304.88/195,998.96
  6. Step 6: Final answer
    x = 168,942.84

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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.