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Finding the Fourth Proportional to 212,694.57, 293,524.68 and 117,207.42

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Solution

The fourth proportional to 212,694.57, 293,524.68 and 117,207.42 is: 161,749.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,694.57 : 293,524.68 = 117,207.42 : x
  2. Step 2: Convert to fraction form
    212,694.57/293,524.68 = 117,207.42/x
  3. Step 3: Cross multiply
    212,694.57x = 293,524.68 × 117,207.42
  4. Step 4: Simplify right side
    212,694.57x = 34,403,270,449.13
  5. Step 5: Solve for x
    x = 34,403,270,449.13/212,694.57
  6. Step 6: Final answer
    x = 161,749.64

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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.