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Finding the Fourth Proportional to 212,858.96, 293,731.97 and 117,366.44

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Solution

The fourth proportional to 212,858.96, 293,731.97 and 117,366.44 is: 161,958.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,858.96 : 293,731.97 = 117,366.44 : x
  2. Step 2: Convert to fraction form
    212,858.96/293,731.97 = 117,366.44/x
  3. Step 3: Cross multiply
    212,858.96x = 293,731.97 × 117,366.44
  4. Step 4: Simplify right side
    212,858.96x = 34,474,275,780.58
  5. Step 5: Solve for x
    x = 34,474,275,780.58/212,858.96
  6. Step 6: Final answer
    x = 161,958.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.