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Finding the Fourth Proportional to 212,694.82, 293,525.02 and 117,207.66

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Solution

The fourth proportional to 212,694.82, 293,525.02 and 117,207.66 is: 161,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,694.82 : 293,525.02 = 117,207.66 : x
  2. Step 2: Convert to fraction form
    212,694.82/293,525.02 = 117,207.66/x
  3. Step 3: Cross multiply
    212,694.82x = 293,525.02 × 117,207.66
  4. Step 4: Simplify right side
    212,694.82x = 34,403,380,745.65
  5. Step 5: Solve for x
    x = 34,403,380,745.65/212,694.82
  6. Step 6: Final answer
    x = 161,749.97

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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.